870566400 has 480 divisors, whose sum is σ = 3501115200. Its totient is φ = 210124800.

The previous prime is 870566357. The next prime is 870566419. The reversal of 870566400 is 4665078.

It is a happy number.

870566400 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 3801486 + ... + 3801714.

It is an arithmetic number, because the mean of its divisors is an integer number (7293990).

Almost surely, 2^870566400 is an apocalyptic number.

870566400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750557600).

870566400 is an abundant number, since it is smaller than the sum of its proper divisors (2630548800).

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

870566400 is a wasteful number, since it uses less digits than its factorization.

870566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 870566400 is about 29505.3622245178. The cubic root of 870566400 is about 954.8473939061.

The spelling of 870566400 in words is "eight hundred seventy million, five hundred sixty-six thousand, four hundred".