240638272 has 56 divisors (see below), whose sum is σ = 553947584. Its totient is φ = 101578752.

The previous prime is 240638267. The next prime is 240638273. The reversal of 240638272 is 272836042.

240638272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×240638272² = 115813555902291968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240638273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26008 + ... + 34024.

Almost surely, 2^240638272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276973792).

240638272 is an abundant number, since it is smaller than the sum of its proper divisors (313309312).

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

240638272 is an equidigital number, since it uses as much as digits as its factorization.

240638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 240638272 is about 15512.5198468850. The cubic root of 240638272 is about 621.9969189579.

The spelling of 240638272 in words is "two hundred forty million, six hundred thirty-eight thousand, two hundred seventy-two".