9000456 has 16 divisors (see below), whose sum is σ = 22501200. Its totient is φ = 3000144.

The previous prime is 9000451. The next prime is 9000461. The reversal of 9000456 is 6540009.

It is an interprime number because it is at equal distance from previous prime (9000451) and next prime (9000461).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 375019 = 9000456 / (9 + 0 + 0 + 0 + 4 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (9000451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187486 + ... + 187533.

It is an arithmetic number, because the mean of its divisors is an integer number (1406325).

Almost surely, 2^9000456 is an apocalyptic number.

It is an amenable number.

9000456 is an abundant number, since it is smaller than the sum of its proper divisors (13500744).

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

9000456 is a wasteful number, since it uses less digits than its factorization.

9000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375028 (or 375024 counting only the distinct ones).

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

The square root of 9000456 is about 3000.0759990374. The cubic root of 9000456 is about 208.0118952763.

The spelling of 9000456 in words is "nine million, four hundred fifty-six", and thus it is an aban number.