864890400 has 216 divisors, whose sum is σ = 3088208592. Its totient is φ = 208512000.

The previous prime is 864890363. The next prime is 864890407. The reversal of 864890400 is 4098468.

It is not an unprimeable number, because it can be changed into a prime (864890407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4778310 + ... + 4778490.

It is an arithmetic number, because the mean of its divisors is an integer number (14297262).

Almost surely, 2^864890400 is an apocalyptic number.

864890400 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 864890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544104296).

864890400 is an abundant number, since it is smaller than the sum of its proper divisors (2223318192).

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

864890400 is a wasteful number, since it uses less digits than its factorization.

864890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 864890400 is about 29409.0190247822. The cubic root of 864890400 is about 952.7676998471.

The spelling of 864890400 in words is "eight hundred sixty-four million, eight hundred ninety thousand, four hundred".