864389400 has 144 divisors (see below), whose sum is σ = 3117200040. Its totient is φ = 197568000.

The previous prime is 864389329. The next prime is 864389413. The reversal of 864389400 is 4983468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14700 + ... + 44100.

Almost surely, 2^864389400 is an apocalyptic number.

It is a pronic number, being equal to 29400×29401.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558600020).

864389400 is an abundant number, since it is smaller than the sum of its proper divisors (2252810640).

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

864389400 is a wasteful number, since it uses less digits than its factorization.

864389400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29434 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 864389400 is about 29400.4999957484. The cubic root of 864389400 is about 952.5836962572.

The spelling of 864389400 in words is "eight hundred sixty-four million, three hundred eighty-nine thousand, four hundred".