856553400 has 96 divisors (see below), whose sum is σ = 2950369200. Its totient is φ = 228412800.

The previous prime is 856553377. The next prime is 856553407. The reversal of 856553400 is 4355658.

856553400 is a `hidden beast` number, since 8 + 565 + 53 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856553407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73911 + ... + 84710.

Almost surely, 2^856553400 is an apocalyptic number.

It is an amenable number.

856553400 is an abundant number, since it is smaller than the sum of its proper divisors (2093815800).

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

856553400 is a wasteful number, since it uses less digits than its factorization.

856553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158646 (or 158631 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 856553400 is about 29266.9335599068. The cubic root of 856553400 is about 949.6964496476.

The spelling of 856553400 in words is "eight hundred fifty-six million, five hundred fifty-three thousand, four hundred".