460890072 has 48 divisors (see below), whose sum is σ = 1250438280. Its totient is φ = 153360000.

The previous prime is 460890071. The next prime is 460890097. The reversal of 460890072 is 270098064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460890071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37947 + ... + 48597.

Almost surely, 2^460890072 is an apocalyptic number.

It is an amenable number.

460890072 is an abundant number, since it is smaller than the sum of its proper divisors (789548208).

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

460890072 is a wasteful number, since it uses less digits than its factorization.

460890072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11264 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 460890072 is about 21468.3504722650. The cubic root of 460890072 is about 772.4418305400.

The spelling of 460890072 in words is "four hundred sixty million, eight hundred ninety thousand, seventy-two".