264408008 has 12 divisors (see below), whose sum is σ = 495851265. Its totient is φ = 132181008.

The previous prime is 264407981. The next prime is 264408017. The reversal of 264408008 is 800804462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

264408008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166358404 + 98049604 = 12898^2 + 9902^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11498.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 43118 + ... + 48866.

Almost surely, 2^264408008 is an apocalyptic number.

It is an amenable number.

264408008 is a deficient number, since it is larger than the sum of its proper divisors (231443257).

264408008 is an frugal number, since it uses more digits than its factorization.

264408008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 264408008 is about 16260.6275401658. The cubic root of 264408008 is about 641.8371756086.

Multiplying 264408008 by its sum of digits (32), we get a square (8461056256 = 91984²).

The spelling of 264408008 in words is "two hundred sixty-four million, four hundred eight thousand, eight".