9256466400 has 72 divisors (see below), whose sum is σ = 30129805944. Its totient is φ = 2468390400.

The previous prime is 9256466389. The next prime is 9256466447. The reversal of 9256466400 is 46646529.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926031 + ... + 1930830.

It is an arithmetic number, because the mean of its divisors is an integer number (418469527).

Almost surely, 2^9256466400 is an apocalyptic number.

It is an amenable number.

9256466400 is an abundant number, since it is smaller than the sum of its proper divisors (20873339544).

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

9256466400 is a wasteful number, since it uses less digits than its factorization.

9256466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856884 (or 3856871 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 9256466400 is about 96210.5316480478. The cubic root of 9256466400 is about 2099.6572683304.

The spelling of 9256466400 in words is "nine billion, two hundred fifty-six million, four hundred sixty-six thousand, four hundred".