8472590400 has 84 divisors (see below), whose sum is σ = 27797172752. Its totient is φ = 2259356160.

The previous prime is 8472590387. The next prime is 8472590429. The reversal of 8472590400 is 40952748.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877762 + ... + 887361.

Almost surely, 2^8472590400 is an apocalyptic number.

8472590400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8472590400 is an abundant number, since it is smaller than the sum of its proper divisors (19324582352).

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

8472590400 is a wasteful number, since it uses less digits than its factorization.

8472590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765148 (or 1765133 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 8472590400 is about 92046.6751164864. The cubic root of 8472590400 is about 2038.6315312699.

The spelling of 8472590400 in words is "eight billion, four hundred seventy-two million, five hundred ninety thousand, four hundred".