240264720 has 60 divisors (see below), whose sum is σ = 806891436. Its totient is φ = 64070400.

The previous prime is 240264677. The next prime is 240264733. The reversal of 240264720 is 27462042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 168896016 + 71368704 = 12996^2 + 8448^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 166131 + ... + 167570.

Almost surely, 2^240264720 is an apocalyptic number.

240264720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240264720 is an abundant number, since it is smaller than the sum of its proper divisors (566626716).

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

240264720 is a wasteful number, since it uses less digits than its factorization.

240264720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333720 (or 333711 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 240264720 is about 15500.4748314366. The cubic root of 240264720 is about 621.6749023994.

The spelling of 240264720 in words is "two hundred forty million, two hundred sixty-four thousand, seven hundred twenty".