204060400 has 60 divisors (see below), whose sum is σ = 495207144. Its totient is φ = 80800000.

The previous prime is 204060377. The next prime is 204060431. The reversal of 204060400 is 4060402.

204060400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37875 + ... + 42925.

Almost surely, 2^204060400 is an apocalyptic number.

204060400 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 204060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247603572).

204060400 is an abundant number, since it is smaller than the sum of its proper divisors (291146744).

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

204060400 is a wasteful number, since it uses less digits than its factorization.

204060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204060400 is about 14284.9711235270. The cubic root of 204060400 is about 588.7346240968.

204060400 divided by its sum of digits (16) gives a triangular number (12753775 = T₅₀₅₀).

The spelling of 204060400 in words is "two hundred four million, sixty thousand, four hundred".