9000457 has 8 divisors (see below), whose sum is σ = 9218880. Its totient is φ = 8784720.

The previous prime is 9000451. The next prime is 9000461. The reversal of 9000457 is 7540009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9000457 is a prime.

It is a super-3 number, since 3×9000457³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

9000457 is a lucky number.

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 7 ways as a sum of consecutive naturals, for example, 7158 + ... + 8320.

It is an arithmetic number, because the mean of its divisors is an integer number (1152360).

Almost surely, 2^9000457 is an apocalyptic number.

It is an amenable number.

9000457 is a deficient number, since it is larger than the sum of its proper divisors (218423).

9000457 is a wasteful number, since it uses less digits than its factorization.

9000457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 9000457 is about 3000.0761656998. The cubic root of 9000457 is about 208.0119029801.

The spelling of 9000457 in words is "nine million, four hundred fifty-seven", and thus it is an aban number.