264725604 has 192 divisors, whose sum is σ = 822447360. Its totient is φ = 72576000.

The previous prime is 264725599. The next prime is 264725609. The reversal of 264725604 is 406527462.

264725604 is a `hidden beast` number, since 2 + 6 + 47 + 2 + 5 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (264725599) and next prime (264725609).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264725609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941944 + ... + 942224.

It is an arithmetic number, because the mean of its divisors is an integer number (4283580).

Almost surely, 2^264725604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264725604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411223680).

264725604 is an abundant number, since it is smaller than the sum of its proper divisors (557721756).

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

264725604 is a wasteful number, since it uses less digits than its factorization.

264725604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 264725604 is about 16270.3904071168. The cubic root of 264725604 is about 642.0940555708.

The spelling of 264725604 in words is "two hundred sixty-four million, seven hundred twenty-five thousand, six hundred four".