204842400 has 288 divisors, whose sum is σ = 776200320. Its totient is φ = 45957120.

The previous prime is 204842357. The next prime is 204842413. The reversal of 204842400 is 4248402.

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 47 ways as a sum of consecutive naturals, for example, 1495132 + ... + 1495268.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2^204842400 is an apocalyptic number.

204842400 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 204842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388100160).

204842400 is an abundant number, since it is smaller than the sum of its proper divisors (571357920).

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

204842400 is a wasteful number, since it uses less digits than its factorization.

204842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 204842400 is about 14312.3163743679. The cubic root of 204842400 is about 589.4857148234.

The spelling of 204842400 in words is "two hundred four million, eight hundred forty-two thousand, four hundred".