240883200 has 480 divisors, whose sum is σ = 959001120. Its totient is φ = 58982400.

The previous prime is 240883189. The next prime is 240883213. The reversal of 240883200 is 2388042.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875180 + ... + 5875220.

It is an arithmetic number, because the mean of its divisors is an integer number (1997919).

Almost surely, 2^240883200 is an apocalyptic number.

240883200 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 240883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479500560).

240883200 is an abundant number, since it is smaller than the sum of its proper divisors (718117920).

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

240883200 is a wasteful number, since it uses less digits than its factorization.

240883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 240883200 is about 15520.4123656558. The cubic root of 240883200 is about 622.2078757085.

The spelling of 240883200 in words is "two hundred forty million, eight hundred eighty-three thousand, two hundred".