264642264 has 48 divisors (see below), whose sum is σ = 758904120. Its totient is φ = 83024640.

The previous prime is 264642251. The next prime is 264642307. The reversal of 264642264 is 462246462.

264642264 is a `hidden beast` number, since 2 + 6 + 4 + 642 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 106882 + ... + 109329.

Almost surely, 2^264642264 is an apocalyptic number.

264642264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264642264 is an abundant number, since it is smaller than the sum of its proper divisors (494261856).

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

264642264 is a wasteful number, since it uses less digits than its factorization.

264642264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216240 (or 216233 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 264642264 is about 16267.8291114703. The cubic root of 264642264 is about 642.0266678881.

The spelling of 264642264 in words is "two hundred sixty-four million, six hundred forty-two thousand, two hundred sixty-four".