264442752 has 256 divisors, whose sum is σ = 945907200. Its totient is φ = 71000064.

The previous prime is 264442751. The next prime is 264442771. The reversal of 264442752 is 257244462.

264442752 is a `hidden beast` number, since 2 + 644 + 4 + 2 + 7 + 5 + 2 = 666.

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

Its product of digits (107520) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264442751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410943 + ... + 411585.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 2^264442752 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 264442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472953600).

264442752 is an abundant number, since it is smaller than the sum of its proper divisors (681464448).

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

264442752 is a wasteful number, since it uses less digits than its factorization.

264442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 264442752 is about 16261.6958525241. The cubic root of 264442752 is about 641.8652874830.

The spelling of 264442752 in words is "two hundred sixty-four million, four hundred forty-two thousand, seven hundred fifty-two".