204162400 has 144 divisors (see below), whose sum is σ = 546621264. Its totient is φ = 74004480.

The previous prime is 204162397. The next prime is 204162403. The reversal of 204162400 is 4261402.

It is an interprime number because it is at equal distance from previous prime (204162397) and next prime (204162403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204162403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696654 + ... + 696946.

It is an arithmetic number, because the mean of its divisors is an integer number (3795981).

Almost surely, 2^204162400 is an apocalyptic number.

204162400 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 204162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273310632).

204162400 is an abundant number, since it is smaller than the sum of its proper divisors (342458864).

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

204162400 is a wasteful number, since it uses less digits than its factorization.

204162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 204162400 is about 14288.5408632232. The cubic root of 204162400 is about 588.8327011513.

The spelling of 204162400 in words is "two hundred four million, one hundred sixty-two thousand, four hundred".