240972 has 24 divisors (see below), whose sum is σ = 576576. Its totient is φ = 78288.

The previous prime is 240967. The next prime is 240997. The reversal of 240972 is 279042.

240972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is an unprimeable number.

240972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2²⁴⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

240972 is an abundant number, since it is smaller than the sum of its proper divisors (335604).

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

240972 is a wasteful number, since it uses less digits than its factorization.

240972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 240972 is about 490.8889894874. Note that the first 3 decimals coincide. The cubic root of 240972 is about 62.2284323923.

The spelling of 240972 in words is "two hundred forty thousand, nine hundred seventy-two".