900456 has 32 divisors (see below), whose sum is σ = 2384640. Its totient is φ = 282368.

The previous prime is 900443. The next prime is 900461. The reversal of 900456 is 654009.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 900456.

It is an unprimeable number.

900456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (74520).

2⁹⁰⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

900456 is an abundant number, since it is smaller than the sum of its proper divisors (1484184).

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

900456 is a wasteful number, since it uses less digits than its factorization.

900456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 900456 is about 948.9236007182. The cubic root of 900456 is about 96.5652417504.

The spelling of 900456 in words is "nine hundred thousand, four hundred fifty-six".