204400620 has 72 divisors (see below), whose sum is σ = 621457200. Its totient is φ = 54380160.

The previous prime is 204400601. The next prime is 204400633. The reversal of 204400620 is 26004402.

204400620 is a `hidden beast` number, since 2 + 0 + 4 + 40 + 0 + 620 = 666.

It is a super-2 number, since 2×204400620² = 83559226912768800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 204400593 and 204400602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96331 + ... + 98429.

It is an arithmetic number, because the mean of its divisors is an integer number (8631350).

Almost surely, 2^204400620 is an apocalyptic number.

204400620 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 204400620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310728600).

204400620 is an abundant number, since it is smaller than the sum of its proper divisors (417056580).

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

204400620 is a wasteful number, since it uses less digits than its factorization.

204400620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204400620 is about 14296.8744836065. The cubic root of 204400620 is about 589.0616319833.

The spelling of 204400620 in words is "two hundred four million, four hundred thousand, six hundred twenty".