204199920 has 320 divisors, whose sum is σ = 764951040. Its totient is φ = 49876992.

The previous prime is 204199861. The next prime is 204199949. The reversal of 204199920 is 29991402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2460199 + ... + 2460281.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2^204199920 is an apocalyptic number.

204199920 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 204199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

204199920 is an abundant number, since it is smaller than the sum of its proper divisors (560751120).

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

204199920 is a wasteful number, since it uses less digits than its factorization.

204199920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 204199920 is about 14289.8537431284. The cubic root of 204199920 is about 588.8687699045.

The spelling of 204199920 in words is "two hundred four million, one hundred ninety-nine thousand, nine hundred twenty".