240399864 has 96 divisors (see below), whose sum is σ = 684028800. Its totient is φ = 76127040.

The previous prime is 240399857. The next prime is 240399883. The reversal of 240399864 is 468993042.

240399864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240399864² = 115584189222436992, 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 23 ways as a sum of consecutive naturals, for example, 296019 + ... + 296829.

It is an arithmetic number, because the mean of its divisors is an integer number (7125300).

Almost surely, 2^240399864 is an apocalyptic number.

240399864 is a gapful number since it is divisible by the number (24) 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 240399864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342014400).

240399864 is an abundant number, since it is smaller than the sum of its proper divisors (443628936).

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

240399864 is a wasteful number, since it uses less digits than its factorization.

240399864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 240399864 is about 15504.8335689230. The cubic root of 240399864 is about 621.7914403658.

The spelling of 240399864 in words is "two hundred forty million, three hundred ninety-nine thousand, eight hundred sixty-four".