460942080 has 288 divisors, whose sum is σ = 1631798784. Its totient is φ = 110297088.

The previous prime is 460942067. The next prime is 460942123. The reversal of 460942080 is 80249064.

It is a super-2 number, since 2×460942080² = 424935202229452800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501287 + ... + 1501593.

It is an arithmetic number, because the mean of its divisors is an integer number (5665968).

Almost surely, 2^460942080 is an apocalyptic number.

460942080 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 460942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815899392).

460942080 is an abundant number, since it is smaller than the sum of its proper divisors (1170856704).

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

460942080 is a wasteful number, since it uses less digits than its factorization.

460942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 460942080 is about 21469.5617095459. The cubic root of 460942080 is about 772.4708842097.

The spelling of 460942080 in words is "four hundred sixty million, nine hundred forty-two thousand, eighty".