240900864 has 72 divisors (see below), whose sum is σ = 645061872. Its totient is φ = 79810560.

The previous prime is 240900809. The next prime is 240900887. The reversal of 240900864 is 468009042.

240900864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138142 + ... + 139874.

Almost surely, 2^240900864 is an apocalyptic number.

240900864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322530936).

240900864 is an abundant number, since it is smaller than the sum of its proper divisors (404161008).

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

240900864 is a wasteful number, since it uses less digits than its factorization.

240900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 240900864 is about 15520.9814122690. The cubic root of 240900864 is about 622.2230842014.

The spelling of 240900864 in words is "two hundred forty million, nine hundred thousand, eight hundred sixty-four".