204680400 has 120 divisors (see below), whose sum is σ = 659076864. Its totient is φ = 54297600.

The previous prime is 204680353. The next prime is 204680431. The reversal of 204680400 is 4086402.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×204680400² = 83788132288320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336897 + ... + 337503.

Almost surely, 2^204680400 is an apocalyptic number.

204680400 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 204680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329538432).

204680400 is an abundant number, since it is smaller than the sum of its proper divisors (454396464).

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

204680400 is a wasteful number, since it uses less digits than its factorization.

204680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 204680400 is about 14306.6557937206. The cubic root of 204680400 is about 589.3302752083.

The spelling of 204680400 in words is "two hundred four million, six hundred eighty thousand, four hundred".