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461424404 = 227176071597
BaseRepresentation
bin11011100000001…
…100011100010100
31012011020210021202
4123200030130110
51421111040104
6113441532032
714302020440
oct3340143424
91164223252
10461424404
11217509a91
1210a644018
13747999bc
14453d3820
152a79851e
hex1b80c714

461424404 has 48 divisors (see below), whose sum is σ = 979356672. Its totient is φ = 185697792.

The previous prime is 461424391. The next prime is 461424419. The reversal of 461424404 is 404424164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288134 + ... + 289730.

It is an arithmetic number, because the mean of its divisors is an integer number (20403264).

Almost surely, 2461424404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461424404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489678336).

461424404 is an abundant number, since it is smaller than the sum of its proper divisors (517932268).

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

461424404 is a wasteful number, since it uses less digits than its factorization.

461424404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 461424404 is about 21480.7915124187. The cubic root of 461424404 is about 772.7402248952.

Adding to 461424404 its reverse (404424164), we get a palindrome (865848568).

The spelling of 461424404 in words is "four hundred sixty-one million, four hundred twenty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 607 1214 1597 2428 3194 4249 6388 8498 10319 11179 16996 20638 22358 27149 41276 44716 54298 72233 108596 144466 190043 288932 380086 760172 969379 1938758 3877516 6785653 13571306 16479443 27142612 32958886 65917772 115356101 230712202 461424404