204360240 has 160 divisors (see below), whose sum is σ = 731667456. Its totient is φ = 46218240.

The previous prime is 204360239. The next prime is 204360283. The reversal of 204360240 is 42063402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 172450 + ... + 173630.

Almost surely, 2^204360240 is an apocalyptic number.

204360240 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 204360240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365833728).

204360240 is an abundant number, since it is smaller than the sum of its proper divisors (527307216).

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

204360240 is a wasteful number, since it uses less digits than its factorization.

204360240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 204360240 is about 14295.4622170813. The cubic root of 204360240 is about 589.0228390885.

The spelling of 204360240 in words is "two hundred four million, three hundred sixty thousand, two hundred forty".