240397200 has 120 divisors (see below), whose sum is σ = 855674400. Its totient is φ = 64103040.

The previous prime is 240397193. The next prime is 240397229. The reversal of 240397200 is 2793042.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330 + ... + 21929.

It is an arithmetic number, because the mean of its divisors is an integer number (7130620).

Almost surely, 2^240397200 is an apocalyptic number.

240397200 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 240397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427837200).

240397200 is an abundant number, since it is smaller than the sum of its proper divisors (615277200).

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

240397200 is a wasteful number, since it uses less digits than its factorization.

240397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22286 (or 22269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 240397200 is about 15504.7476599911. The cubic root of 240397200 is about 621.7891435557.

The spelling of 240397200 in words is "two hundred forty million, three hundred ninety-seven thousand, two hundred".