240492960 has 72 divisors (see below), whose sum is σ = 820687140. Its totient is φ = 64131072.

The previous prime is 240492943. The next prime is 240492983. The reversal of 240492960 is 69294042.

It can be written as a sum of positive squares in 2 ways, for example, as 202891536 + 37601424 = 14244^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 82065 + ... + 84944.

Almost surely, 2^240492960 is an apocalyptic number.

240492960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240492960 is an abundant number, since it is smaller than the sum of its proper divisors (580194180).

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

240492960 is a wasteful number, since it uses less digits than its factorization.

240492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167030 (or 167019 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 240492960 is about 15507.8354388999. The cubic root of 240492960 is about 621.8716939127.

The spelling of 240492960 in words is "two hundred forty million, four hundred ninety-two thousand, nine hundred sixty".