464772160 has 28 divisors (see below), whose sum is σ = 1106739468. Its totient is φ = 185908736.

The previous prime is 464772157. The next prime is 464772173. The reversal of 464772160 is 61277464.

It can be written as a sum of positive squares in 2 ways, for example, as 70829056 + 393943104 = 8416^2 + 19848^2 .

It is a super-2 number, since 2×464772160² = 432026321422131200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 725887 + ... + 726526.

Almost surely, 2^464772160 is an apocalyptic number.

464772160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464772160 is an abundant number, since it is smaller than the sum of its proper divisors (641967308).

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

464772160 is a wasteful number, since it uses less digits than its factorization.

464772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452430 (or 1452420 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 464772160 is about 21558.5750920602. The cubic root of 464772160 is about 774.6045349700.

The spelling of 464772160 in words is "four hundred sixty-four million, seven hundred seventy-two thousand, one hundred sixty".