264572496 has 240 divisors, whose sum is σ = 846802944. Its totient is φ = 76640256.

The previous prime is 264572491. The next prime is 264572509. The reversal of 264572496 is 694275462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264572491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083185 + ... + 2083311.

Almost surely, 2^264572496 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 264572496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423401472).

264572496 is an abundant number, since it is smaller than the sum of its proper divisors (582230448).

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

264572496 is a wasteful number, since it uses less digits than its factorization.

264572496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 264572496 is about 16265.6846151645. The cubic root of 264572496 is about 641.9702434748.

The spelling of 264572496 in words is "two hundred sixty-four million, five hundred seventy-two thousand, four hundred ninety-six".