864230400 has 594 divisors, whose sum is σ = 3510948896. Its totient is φ = 202752000.

The previous prime is 864230351. The next prime is 864230413. The reversal of 864230400 is 4032468.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27878385 + ... + 27878415.

Almost surely, 2^864230400 is an apocalyptic number.

864230400 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 864230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755474448).

864230400 is an abundant number, since it is smaller than the sum of its proper divisors (2646718496).

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

864230400 is a wasteful number, since it uses less digits than its factorization.

864230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 864230400 is about 29397.7958357425. The cubic root of 864230400 is about 952.5252850460.

Adding to 864230400 its reverse (4032468), we get a palindrome (868262868).

The spelling of 864230400 in words is "eight hundred sixty-four million, two hundred thirty thousand, four hundred".