461074320 has 240 divisors, whose sum is σ = 1806729600. Its totient is φ = 105331968.

The previous prime is 461074291. The next prime is 461074331. The reversal of 461074320 is 23470164.

461074320 is a `hidden beast` number, since 4 + 610 + 7 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246027 + ... + 247893.

It is an arithmetic number, because the mean of its divisors is an integer number (7528040).

Almost surely, 2^461074320 is an apocalyptic number.

461074320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903364800).

461074320 is an abundant number, since it is smaller than the sum of its proper divisors (1345655280).

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

461074320 is a wasteful number, since it uses less digits than its factorization.

461074320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 461074320 is about 21472.6411975798. The cubic root of 461074320 is about 772.5447487196.

The spelling of 461074320 in words is "four hundred sixty-one million, seventy-four thousand, three hundred twenty".