264001952 has 48 divisors (see below), whose sum is σ = 549690624. Its totient is φ = 124608000.

The previous prime is 264001951. The next prime is 264001987. The reversal of 264001952 is 259100462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (264001951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37427 + ... + 43917.

It is an arithmetic number, because the mean of its divisors is an integer number (11451888).

Almost surely, 2^264001952 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 264001952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274845312).

264001952 is an abundant number, since it is smaller than the sum of its proper divisors (285688672).

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

264001952 is a wasteful number, since it uses less digits than its factorization.

264001952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 264001952 is about 16248.1368778085. The cubic root of 264001952 is about 641.5084470829.

The spelling of 264001952 in words is "two hundred sixty-four million, one thousand, nine hundred fifty-two".