240879240 has 192 divisors, whose sum is σ = 909941760. Its totient is φ = 54120960.

The previous prime is 240879229. The next prime is 240879313. The reversal of 240879240 is 42978042.

240879240 is a `hidden beast` number, since 2 + 408 + 7 + 9 + 240 = 666.

240879240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240879195 and 240879204.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 152937 + ... + 154503.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^240879240 is an apocalyptic number.

240879240 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 240879240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

240879240 is an abundant number, since it is smaller than the sum of its proper divisors (669062520).

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

240879240 is a wasteful number, since it uses less digits than its factorization.

240879240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 240879240 is about 15520.2847912015. The cubic root of 240879240 is about 622.2044660938.

The spelling of 240879240 in words is "two hundred forty million, eight hundred seventy-nine thousand, two hundred forty".