264996432 has 240 divisors, whose sum is σ = 835660800. Its totient is φ = 78059520.

The previous prime is 264996419. The next prime is 264996491. The reversal of 264996432 is 234699462.

264996432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977444 + ... + 2977532.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^264996432 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 264996432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

264996432 is an abundant number, since it is smaller than the sum of its proper divisors (570664368).

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

264996432 is a wasteful number, since it uses less digits than its factorization.

264996432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 264996432 is about 16278.7110054820. The cubic root of 264996432 is about 642.3129460975.

The spelling of 264996432 in words is "two hundred sixty-four million, nine hundred ninety-six thousand, four hundred thirty-two".