204071400 has 576 divisors, whose sum is σ = 853070400. Its totient is φ = 44789760.

The previous prime is 204071389. The next prime is 204071423. The reversal of 204071400 is 4170402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10740591 + ... + 10740609.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^204071400 is an apocalyptic number.

204071400 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 204071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

204071400 is an abundant number, since it is smaller than the sum of its proper divisors (648999000).

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

204071400 is a wasteful number, since it uses less digits than its factorization.

204071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 204071400 is about 14285.3561383677. The cubic root of 204071400 is about 588.7452026060.

The spelling of 204071400 in words is "two hundred four million, seventy-one thousand, four hundred".