264004400 has 120 divisors (see below), whose sum is σ = 716137200. Its totient is φ = 92646400.

The previous prime is 264004399. The next prime is 264004421. The reversal of 264004400 is 4400462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126566 + ... + 128634.

It is an arithmetic number, because the mean of its divisors is an integer number (5967810).

Almost surely, 2^264004400 is an apocalyptic number.

264004400 is a gapful number since it is divisible by the number (20) 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 264004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358068600).

264004400 is an abundant number, since it is smaller than the sum of its proper divisors (452132800).

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

264004400 is a wasteful number, since it uses less digits than its factorization.

264004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 264004400 is about 16248.2122093478. The cubic root of 264004400 is about 641.5104299064.

Adding to 264004400 its reverse (4400462), we get a palindrome (268404862).

The spelling of 264004400 in words is "two hundred sixty-four million, four thousand, four hundred".