240439680 has 384 divisors, whose sum is σ = 946764000. Its totient is φ = 56070144.

The previous prime is 240439679. The next prime is 240439697. The reversal of 240439680 is 86934042.

It is a happy number.

240439680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×240439680² = 115622479437004800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12654711 + ... + 12654729.

Almost surely, 2^240439680 is an apocalyptic number.

240439680 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 240439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473382000).

240439680 is an abundant number, since it is smaller than the sum of its proper divisors (706324320).

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

240439680 is a wasteful number, since it uses less digits than its factorization.

240439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 240439680 is about 15506.1175024569. The cubic root of 240439680 is about 621.8257663438.

The spelling of 240439680 in words is "two hundred forty million, four hundred thirty-nine thousand, six hundred eighty".