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464492025440 = 25517533222059
BaseRepresentation
bin1101100001001011110…
…00011101011001100000
31122101221020200201012122
412300211320131121200
530102234424303230
6553215032043412
745362355033542
oct6604570353140
91571836621178
10464492025440
11169a98703683
1276031533568
1334a5590c341
14186a5487692
15c1386b1be5
hex6c25e1d660

464492025440 has 96 divisors (see below), whose sum is σ = 1183836396960. Its totient is φ = 171568144384.

The previous prime is 464492025379. The next prime is 464492025449. The reversal of 464492025440 is 44520294464.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 464492025391 and 464492025400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464492025449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466870 + ... + 1755189.

It is an arithmetic number, because the mean of its divisors is an integer number (12331629135).

Almost surely, 2464492025440 is an apocalyptic number.

464492025440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464492025440 is an abundant number, since it is smaller than the sum of its proper divisors (719344371520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464492025440 is a wasteful number, since it uses less digits than its factorization.

464492025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222144 (or 3222136 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 464492025440 in words is "four hundred sixty-four billion, four hundred ninety-two million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 68 80 85 106 136 160 170 212 265 272 340 424 530 544 680 848 901 1060 1360 1696 1802 2120 2720 3604 4240 4505 7208 8480 9010 14416 18020 28832 36040 72080 144160 3222059 6444118 12888236 16110295 25776472 32220590 51552944 54775003 64441180 103105888 109550006 128882360 170769127 219100012 257764720 273875015 341538254 438200024 515529440 547750030 683076508 853845635 876400048 1095500060 1366153016 1707691270 1752800096 2191000120 2732306032 2903075159 3415382540 4382000240 5464612064 5806150318 6830765080 8764000480 11612300636 13661530160 14515375795 23224601272 27323060320 29030751590 46449202544 58061503180 92898405088 116123006360 232246012720 464492025440