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1457046460 = 225337216179
BaseRepresentation
bin101011011011000…
…1100001110111100
310202112200121222201
41112312030032330
510441000441320
6400325321244
751051455602
oct12666141674
93675617881
101457046460
11688512631
12347b66224
131a2b3328c
14db721872
1587db270a
hex56d8c3bc

1457046460 has 24 divisors (see below), whose sum is σ = 3068891280. Its totient is φ = 581086464.

The previous prime is 1457046439. The next prime is 1457046463. The reversal of 1457046460 is 646407541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457046463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101350 + ... + 114829.

It is an arithmetic number, because the mean of its divisors is an integer number (127870470).

Almost surely, 21457046460 is an apocalyptic number.

1457046460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457046460 is an abundant number, since it is smaller than the sum of its proper divisors (1611844820).

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

1457046460 is a wasteful number, since it uses less digits than its factorization.

1457046460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216525 (or 216523 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 1457046460 is about 38171.2779455967. The cubic root of 1457046460 is about 1133.6816924121.

The spelling of 1457046460 in words is "one billion, four hundred fifty-seven million, forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 216179 432358 864716 1080895 2161790 4323580 72852323 145704646 291409292 364261615 728523230 1457046460