204300624 has 80 divisors (see below), whose sum is σ = 581837760. Its totient is φ = 61255680.

The previous prime is 204300601. The next prime is 204300631. The reversal of 204300624 is 426003402.

It is a self number, because there is not a number n which added to its sum of digits gives 204300624.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49222 + ... + 53210.

It is an arithmetic number, because the mean of its divisors is an integer number (7272972).

Almost surely, 2^204300624 is an apocalyptic number.

204300624 is a gapful number since it is divisible by the number (24) 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 204300624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

204300624 is an abundant number, since it is smaller than the sum of its proper divisors (377537136).

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

204300624 is a wasteful number, since it uses less digits than its factorization.

204300624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4102 counting only the distinct ones).

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

The square root of 204300624 is about 14293.3769277942. The cubic root of 204300624 is about 588.9655569076.

The spelling of 204300624 in words is "two hundred four million, three hundred thousand, six hundred twenty-four".