204211400 has 48 divisors (see below), whose sum is σ = 476437140. Its totient is φ = 81401600.

The previous prime is 204211393. The next prime is 204211409. The reversal of 204211400 is 4112402.

It can be written as a sum of positive squares in 6 ways, for example, as 49308484 + 154902916 = 7022^2 + 12446^2 .

It is not an unprimeable number, because it can be changed into a prime (204211409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61790 + ... + 65010.

Almost surely, 2^204211400 is an apocalyptic number.

204211400 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 204211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238218570).

204211400 is an abundant number, since it is smaller than the sum of its proper divisors (272225740).

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

204211400 is a wasteful number, since it uses less digits than its factorization.

204211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 204211400 is about 14290.2554210903. The cubic root of 204211400 is about 588.8798049836.

Adding to 204211400 its reverse (4112402), we get a palindrome (208323802).

The spelling of 204211400 in words is "two hundred four million, two hundred eleven thousand, four hundred".