864810400 has 72 divisors (see below), whose sum is σ = 2235442860. Its totient is φ = 325570560.

The previous prime is 864810391. The next prime is 864810409. The reversal of 864810400 is 4018468.

It is an interprime number because it is at equal distance from previous prime (864810391) and next prime (864810409).

It can be written as a sum of positive squares in 6 ways, for example, as 652700304 + 212110096 = 25548^2 + 14564^2 .

It is not an unprimeable number, because it can be changed into a prime (864810409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18195 + ... + 45394.

Almost surely, 2^864810400 is an apocalyptic number.

864810400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864810400 is an abundant number, since it is smaller than the sum of its proper divisors (1370632460).

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

864810400 is a wasteful number, since it uses less digits than its factorization.

864810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63626 (or 63613 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 864810400 is about 29407.6588663566. The cubic root of 864810400 is about 952.7383228046.

Adding to 864810400 its reverse (4018468), we get a palindrome (868828868).

The spelling of 864810400 in words is "eight hundred sixty-four million, eight hundred ten thousand, four hundred".