240139920 has 160 divisors (see below), whose sum is σ = 774950400. Its totient is φ = 61470720.

The previous prime is 240139903. The next prime is 240139931. The reversal of 240139920 is 29931042.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687906 + ... + 688254.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^240139920 is an apocalyptic number.

240139920 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 240139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

240139920 is an abundant number, since it is smaller than the sum of its proper divisors (534810480).

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

240139920 is a wasteful number, since it uses less digits than its factorization.

240139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

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

The square root of 240139920 is about 15496.4486254109. The cubic root of 240139920 is about 621.5672454992.

It can be divided in two parts, 24013 and 9920, that added together give a palindrome (33933).

The spelling of 240139920 in words is "two hundred forty million, one hundred thirty-nine thousand, nine hundred twenty".