264328512 has 224 divisors, whose sum is σ = 884846592. Its totient is φ = 67854336.

The previous prime is 264328511. The next prime is 264328553. The reversal of 264328512 is 215823462.

264328512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×264328512² = 139739124512268288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264328511) 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, 525253 + ... + 525755.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 2^264328512 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 264328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

264328512 is an abundant number, since it is smaller than the sum of its proper divisors (620518080).

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

264328512 is a wasteful number, since it uses less digits than its factorization.

264328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 264328512 is about 16258.1829243000. The cubic root of 264328512 is about 641.7728449770.

The spelling of 264328512 in words is "two hundred sixty-four million, three hundred twenty-eight thousand, five hundred twelve".