204152040 has 96 divisors (see below), whose sum is σ = 666731520. Its totient is φ = 54175104.

The previous prime is 204152033. The next prime is 204152063. The reversal of 204152040 is 40251402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79009 + ... + 81551.

It is an arithmetic number, because the mean of its divisors is an integer number (6945120).

Almost surely, 2^204152040 is an apocalyptic number.

204152040 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 204152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333365760).

204152040 is an abundant number, since it is smaller than the sum of its proper divisors (462579480).

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

204152040 is a wasteful number, since it uses less digits than its factorization.

204152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204152040 is about 14288.1783303541. The cubic root of 204152040 is about 588.8227410901.

The spelling of 204152040 in words is "two hundred four million, one hundred fifty-two thousand, forty".