240726400 has 48 divisors (see below), whose sum is σ = 594677340. Its totient is φ = 96289280.

The previous prime is 240726389. The next prime is 240726401. The reversal of 240726400 is 4627042.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240726401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 34414 + ... + 40813.

Almost surely, 2^240726400 is an apocalyptic number.

240726400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240726400 is an abundant number, since it is smaller than the sum of its proper divisors (353950940).

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

240726400 is an equidigital number, since it uses as much as digits as its factorization.

240726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75251 (or 75234 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 240726400 is about 15515.3601311732. The cubic root of 240726400 is about 622.0728401788.

The spelling of 240726400 in words is "two hundred forty million, seven hundred twenty-six thousand, four hundred".