462580272 has 120 divisors (see below), whose sum is σ = 1614063360. Its totient is φ = 120147840.

The previous prime is 462580267. The next prime is 462580297. The reversal of 462580272 is 272085264.

462580272 is a `hidden beast` number, since 4 + 6 + 2 + 580 + 2 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9772 + ... + 31947.

It is an arithmetic number, because the mean of its divisors is an integer number (13450528).

Almost surely, 2^462580272 is an apocalyptic number.

462580272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

462580272 is an abundant number, since it is smaller than the sum of its proper divisors (1151483088).

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

462580272 is a wasteful number, since it uses less digits than its factorization.

462580272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41751 (or 41742 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 462580272 is about 21507.6793727264. The cubic root of 462580272 is about 773.3849248842.

The spelling of 462580272 in words is "four hundred sixty-two million, five hundred eighty thousand, two hundred seventy-two".