204989400 has 768 divisors, whose sum is σ = 964224000. Its totient is φ = 38707200.

The previous prime is 204989387. The next prime is 204989431. The reversal of 204989400 is 4989402.

It is a happy number.

It is a super-2 number, since 2×204989400² = 84041308224720000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 7068586 + ... + 7068614.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^204989400 is an apocalyptic number.

204989400 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 204989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

204989400 is an abundant number, since it is smaller than the sum of its proper divisors (759234600).

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

204989400 is a wasteful number, since it uses less digits than its factorization.

204989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 204989400 is about 14317.4508904344. The cubic root of 204989400 is about 589.6266909753.

The spelling of 204989400 in words is "two hundred four million, nine hundred eighty-nine thousand, four hundred".