204351642 has 72 divisors (see below), whose sum is σ = 505185408. Its totient is φ = 59202000.

The previous prime is 204351613. The next prime is 204351643. The reversal of 204351642 is 246153402.

It is not an unprimeable number, because it can be changed into a prime (204351643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103767 + ... + 105717.

It is an arithmetic number, because the mean of its divisors is an integer number (7016464).

Almost surely, 2^204351642 is an apocalyptic number.

204351642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204351642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252592704).

204351642 is an abundant number, since it is smaller than the sum of its proper divisors (300833766).

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

204351642 is a wasteful number, since it uses less digits than its factorization.

204351642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 204351642 is about 14295.1614891193. The cubic root of 204351642 is about 589.0145783665.

The spelling of 204351642 in words is "two hundred four million, three hundred fifty-one thousand, six hundred forty-two".