264051408 has 60 divisors (see below), whose sum is σ = 713148800. Its totient is φ = 84182208.

The previous prime is 264051391. The next prime is 264051443. The reversal of 264051408 is 804150462.

264051408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20193 + ... + 30591.

Almost surely, 2^264051408 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 264051408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356574400).

264051408 is an abundant number, since it is smaller than the sum of its proper divisors (449097392).

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

264051408 is a wasteful number, since it uses less digits than its factorization.

264051408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10456 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 264051408 is about 16249.6587041082. The cubic root of 264051408 is about 641.5485029242.

The spelling of 264051408 in words is "two hundred sixty-four million, fifty-one thousand, four hundred eight".