264401440 has 24 divisors (see below), whose sum is σ = 624648780. Its totient is φ = 105760512.

The previous prime is 264401419. The next prime is 264401483. The reversal of 264401440 is 44104462.

It can be written as a sum of positive squares in 2 ways, for example, as 255616144 + 8785296 = 15988^2 + 2964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 826095 + ... + 826414.

Almost surely, 2^264401440 is an apocalyptic number.

264401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264401440 is an abundant number, since it is smaller than the sum of its proper divisors (360247340).

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

264401440 is a wasteful number, since it uses less digits than its factorization.

264401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652524 (or 1652516 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 264401440 is about 16260.4255786864. The cubic root of 264401440 is about 641.8318610677.

The spelling of 264401440 in words is "two hundred sixty-four million, four hundred one thousand, four hundred forty".