264329520 has 480 divisors, whose sum is σ = 1089216000. Its totient is φ = 52835328.

The previous prime is 264329491. The next prime is 264329537. The reversal of 264329520 is 25923462.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13912071 + ... + 13912089.

It is an arithmetic number, because the mean of its divisors is an integer number (2269200).

Almost surely, 2^264329520 is an apocalyptic number.

264329520 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 264329520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544608000).

264329520 is an abundant number, since it is smaller than the sum of its proper divisors (824886480).

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

264329520 is a wasteful number, since it uses less digits than its factorization.

264329520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 264329520 is about 16258.2139240447. The cubic root of 264329520 is about 641.7736607626.

The spelling of 264329520 in words is "two hundred sixty-four million, three hundred twenty-nine thousand, five hundred twenty".