864418800 has 360 divisors, whose sum is σ = 3287496432. Its totient is φ = 193536000.

The previous prime is 864418781. The next prime is 864418843. The reversal of 864418800 is 8814468.

It is a Cunningham number, because it is equal to 29401²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3586680 + ... + 3586920.

Almost surely, 2^864418800 is an apocalyptic number.

864418800 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 864418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643748216).

864418800 is an abundant number, since it is smaller than the sum of its proper divisors (2423077632).

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

864418800 is a wasteful number, since it uses less digits than its factorization.

864418800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 864418800 is about 29400.9999829938. Note that the first 4 decimals coincide. The cubic root of 864418800 is about 952.5944960361.

The spelling of 864418800 in words is "eight hundred sixty-four million, four hundred eighteen thousand, eight hundred".