240391920 has 80 divisors (see below), whose sum is σ = 755478432. Its totient is φ = 63221760.

The previous prime is 240391891. The next prime is 240391927. The reversal of 240391920 is 29193042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240391927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10660 + ... + 24380.

Almost surely, 2^240391920 is an apocalyptic number.

240391920 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 240391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377739216).

240391920 is an abundant number, since it is smaller than the sum of its proper divisors (515086512).

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

240391920 is a wasteful number, since it uses less digits than its factorization.

240391920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13810 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 240391920 is about 15504.5773886295. The cubic root of 240391920 is about 621.7845912693.

The spelling of 240391920 in words is "two hundred forty million, three hundred ninety-one thousand, nine hundred twenty".