240390864 has 240 divisors, whose sum is σ = 815027200. Its totient is φ = 66044160.

The previous prime is 240390811. The next prime is 240390883. The reversal of 240390864 is 468093042.

It is a happy number.

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, 1531074 + ... + 1531230.

Almost surely, 2^240390864 is an apocalyptic number.

240390864 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 240390864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407513600).

240390864 is an abundant number, since it is smaller than the sum of its proper divisors (574636336).

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

240390864 is a wasteful number, since it uses less digits than its factorization.

240390864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

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

The square root of 240390864 is about 15504.5433341327. The cubic root of 240390864 is about 621.7836808040.

The spelling of 240390864 in words is "two hundred forty million, three hundred ninety thousand, eight hundred sixty-four".