264414264 has 32 divisors (see below), whose sum is σ = 669408000. Its totient is φ = 87021792.

The previous prime is 264414239. The next prime is 264414281. The reversal of 264414264 is 462414462.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67834 + ... + 71625.

It is an arithmetic number, because the mean of its divisors is an integer number (20919000).

Almost surely, 2^264414264 is an apocalyptic number.

264414264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264414264 is an abundant number, since it is smaller than the sum of its proper divisors (404993736).

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

264414264 is a wasteful number, since it uses less digits than its factorization.

264414264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139547 (or 139543 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 264414264 is about 16260.8199055275. The cubic root of 264414264 is about 641.8422376107.

The spelling of 264414264 in words is "two hundred sixty-four million, four hundred fourteen thousand, two hundred sixty-four".