264364506 has 80 divisors (see below), whose sum is σ = 685684800. Its totient is φ = 75495672.

The previous prime is 264364487. The next prime is 264364547. The reversal of 264364506 is 605463462.

264364506 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 645 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128635 + ... + 130673.

It is an arithmetic number, because the mean of its divisors is an integer number (8571060).

Almost surely, 2^264364506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264364506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342842400).

264364506 is an abundant number, since it is smaller than the sum of its proper divisors (421320294).

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

264364506 is an equidigital number, since it uses as much as digits as its factorization.

264364506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 264364506 is about 16259.2898368902. The cubic root of 264364506 is about 641.8019740371.

The spelling of 264364506 in words is "two hundred sixty-four million, three hundred sixty-four thousand, five hundred six".