240572800 has 96 divisors (see below), whose sum is σ = 640115280. Its totient is φ = 88811520.

The previous prime is 240572693. The next prime is 240572807. The reversal of 240572800 is 8275042.

240572800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240572807) by changing a digit.

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, 38709 + ... + 44491.

Almost surely, 2^240572800 is an apocalyptic number.

240572800 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 240572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320057640).

240572800 is an abundant number, since it is smaller than the sum of its proper divisors (399542480).

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

240572800 is a wasteful number, since it uses less digits than its factorization.

240572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 240572800 is about 15510.4094078783. The cubic root of 240572800 is about 621.9405036091.

The spelling of 240572800 in words is "two hundred forty million, five hundred seventy-two thousand, eight hundred".