264144240 has 100 divisors (see below), whose sum is σ = 917434584. Its totient is φ = 70436736.

The previous prime is 264144233. The next prime is 264144269. The reversal of 264144240 is 42441462.

It is a happy number.

264144240 is a `hidden beast` number, since 2 + 6 + 414 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13902 + ... + 26861.

Almost surely, 2^264144240 is an apocalyptic number.

264144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264144240 is an abundant number, since it is smaller than the sum of its proper divisors (653290344).

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

264144240 is a wasteful number, since it uses less digits than its factorization.

264144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40788 (or 40773 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 264144240 is about 16252.5148823190. The cubic root of 264144240 is about 641.6236767361.

The spelling of 264144240 in words is "two hundred sixty-four million, one hundred forty-four thousand, two hundred forty".