264387200 has 384 divisors, whose sum is σ = 865123200. Its totient is φ = 77414400.

The previous prime is 264387191. The next prime is 264387257. The reversal of 264387200 is 2783462.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 7145582 + ... + 7145618.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^264387200 is an apocalyptic number.

264387200 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 264387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432561600).

264387200 is an abundant number, since it is smaller than the sum of its proper divisors (600736000).

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

264387200 is a wasteful number, since it uses less digits than its factorization.

264387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 264387200 is about 16259.9876998723. The cubic root of 264387200 is about 641.8203383748.

The spelling of 264387200 in words is "two hundred sixty-four million, three hundred eighty-seven thousand, two hundred".