240240320 has 56 divisors (see below), whose sum is σ = 586057248. Its totient is φ = 93747200.

The previous prime is 240240293. The next prime is 240240337. The reversal of 240240320 is 23042042.

It is a super-2 number, since 2×240240320² = 115430822707404800, which contains 22 as substring.

It is a congruent number.

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, 3965 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (10465308).

Almost surely, 2^240240320 is an apocalyptic number.

240240320 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 240240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293028624).

240240320 is an abundant number, since it is smaller than the sum of its proper divisors (345816928).

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

240240320 is a wasteful number, since it uses less digits than its factorization.

240240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18369 (or 18359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 240240320 is about 15499.6877387901. The cubic root of 240240320 is about 621.6538570276.

Adding to 240240320 its reverse (23042042), we get a palindrome (263282362).

The spelling of 240240320 in words is "two hundred forty million, two hundred forty thousand, three hundred twenty".