461290624 has 16 divisors (see below), whose sum is σ = 918977670. Its totient is φ = 230645248.

The previous prime is 461290603. The next prime is 461290663. The reversal of 461290624 is 426092164.

It can be written as a sum of positive squares in only one way, i.e., 459330624 + 1960000 = 21432^2 + 1400^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 461290624.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1801789 + ... + 1802044.

Almost surely, 2^461290624 is an apocalyptic number.

It is an amenable number.

461290624 is a deficient number, since it is larger than the sum of its proper divisors (457687046).

461290624 is an equidigital number, since it uses as much as digits as its factorization.

461290624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603847 (or 3603835 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 461290624 is about 21477.6773418356. The cubic root of 461290624 is about 772.6655379196.

The spelling of 461290624 in words is "four hundred sixty-one million, two hundred ninety thousand, six hundred twenty-four".