264139200 has 504 divisors, whose sum is σ = 1083399408. Its totient is φ = 60456960.

The previous prime is 264139181. The next prime is 264139229. The reversal of 264139200 is 2931462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182359 + ... + 3182441.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602).

Almost surely, 2^264139200 is an apocalyptic number.

264139200 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 264139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541699704).

264139200 is an abundant number, since it is smaller than the sum of its proper divisors (819260208).

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

264139200 is a wasteful number, since it uses less digits than its factorization.

264139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 264139200 is about 16252.3598286526. The cubic root of 264139200 is about 641.6195958800.

The spelling of 264139200 in words is "two hundred sixty-four million, one hundred thirty-nine thousand, two hundred".