240866400 has 72 divisors (see below), whose sum is σ = 784027944. Its totient is φ = 64230400.

The previous prime is 240866389. The next prime is 240866429. The reversal of 240866400 is 4668042.

240866400 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 (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 47781 + ... + 52580.

It is an arithmetic number, because the mean of its divisors is an integer number (10889277).

Almost surely, 2^240866400 is an apocalyptic number.

240866400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240866400 is an abundant number, since it is smaller than the sum of its proper divisors (543161544).

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

240866400 is a wasteful number, since it uses less digits than its factorization.

240866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100384 (or 100371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 240866400 is about 15519.8711334856. The cubic root of 240866400 is about 622.1934104195.

The spelling of 240866400 in words is "two hundred forty million, eight hundred sixty-six thousand, four hundred".