264013440 has 64 divisors (see below), whose sum is σ = 841548960. Its totient is φ = 70403072.

The previous prime is 264013367. The next prime is 264013441. The reversal of 264013440 is 44310462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 264013440.

It is not an unprimeable number, because it can be changed into a prime (264013441) by changing a digit.

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, 66834 + ... + 70673.

Almost surely, 2^264013440 is an apocalyptic number.

264013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264013440 is an abundant number, since it is smaller than the sum of its proper divisors (577535520).

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

264013440 is a wasteful number, since it uses less digits than its factorization.

264013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137529 (or 137517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 264013440 is about 16248.4903914179. The cubic root of 264013440 is about 641.5177519916.

The spelling of 264013440 in words is "two hundred sixty-four million, thirteen thousand, four hundred forty".