240384320 has 112 divisors (see below), whose sum is σ = 638178048. Its totient is φ = 85493760.

The previous prime is 240384311. The next prime is 240384329. The reversal of 240384320 is 23483042.

240384320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240384311) and next prime (240384329).

It is a self number, because there is not a number n which added to its sum of digits gives 240384320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240384329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164714 + ... + 166166.

Almost surely, 2^240384320 is an apocalyptic number.

240384320 is a gapful number since it is divisible by the number (20) 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 240384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319089024).

240384320 is an abundant number, since it is smaller than the sum of its proper divisors (397793728).

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

240384320 is a wasteful number, since it uses less digits than its factorization.

240384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 240384320 is about 15504.3322977805. The cubic root of 240384320 is about 621.7780386188.

The spelling of 240384320 in words is "two hundred forty million, three hundred eighty-four thousand, three hundred twenty".