864648400 has 240 divisors, whose sum is σ = 2634831360. Its totient is φ = 264844800.

The previous prime is 864648391. The next prime is 864648431. The reversal of 864648400 is 4846468.

864648400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063391 + ... + 2063809.

It is an arithmetic number, because the mean of its divisors is an integer number (10978464).

Almost surely, 2^864648400 is an apocalyptic number.

864648400 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 864648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317415680).

864648400 is an abundant number, since it is smaller than the sum of its proper divisors (1770182960).

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

864648400 is a wasteful number, since it uses less digits than its factorization.

864648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 864648400 is about 29404.9043528456. The cubic root of 864648400 is about 952.6788287441.

It can be divided in two parts, 86464 and 8400, that added together give a square (94864 = 308²).

The spelling of 864648400 in words is "eight hundred sixty-four million, six hundred forty-eight thousand, four hundred".