204407400 has 96 divisors (see below), whose sum is σ = 635896800. Its totient is φ = 54316800.

The previous prime is 204407383. The next prime is 204407407. The reversal of 204407400 is 4704402.

It is not an unprimeable number, because it can be changed into a prime (204407407) 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, 276231 + ... + 276969.

It is an arithmetic number, because the mean of its divisors is an integer number (6623925).

Almost surely, 2^204407400 is an apocalyptic number.

204407400 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 204407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317948400).

204407400 is an abundant number, since it is smaller than the sum of its proper divisors (431489400).

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

204407400 is a wasteful number, since it uses less digits than its factorization.

204407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 204407400 is about 14297.1115964030. Note that the first 3 decimals coincide. The cubic root of 204407400 is about 589.0681449996.

The spelling of 204407400 in words is "two hundred four million, four hundred seven thousand, four hundred".