461520440 has 32 divisors (see below), whose sum is σ = 1041072480. Its totient is φ = 184136832.

The previous prime is 461520427. The next prime is 461520463. The reversal of 461520440 is 44025164.

It is a super-2 number, since 2×461520440² = 426002233075587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349 + ... + 30411.

It is an arithmetic number, because the mean of its divisors is an integer number (32533515).

Almost surely, 2^461520440 is an apocalyptic number.

461520440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461520440 is an abundant number, since it is smaller than the sum of its proper divisors (579552040).

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

461520440 is a wasteful number, since it uses less digits than its factorization.

461520440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29471 (or 29467 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 461520440 is about 21483.0267886069. The cubic root of 461520440 is about 772.7938311715.

The spelling of 461520440 in words is "four hundred sixty-one million, five hundred twenty thousand, four hundred forty".