264604032 has 384 divisors, whose sum is σ = 1005638400. Its totient is φ = 64696320.

The previous prime is 264604027. The next prime is 264604061. The reversal of 264604032 is 230406462.

264604032 is a `hidden beast` number, since 26 + 4 + 604 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 264603987 and 264604005.

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, 1685298 + ... + 1685454.

It is an arithmetic number, because the mean of its divisors is an integer number (2618850).

Almost surely, 2^264604032 is an apocalyptic number.

264604032 is a gapful number since it is divisible by the number (22) 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 264604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502819200).

264604032 is an abundant number, since it is smaller than the sum of its proper divisors (741034368).

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

264604032 is a wasteful number, since it uses less digits than its factorization.

264604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 264604032 is about 16266.6539890661. The cubic root of 264604032 is about 641.9957492367.

The spelling of 264604032 in words is "two hundred sixty-four million, six hundred four thousand, thirty-two".