204671400 has 96 divisors (see below), whose sum is σ = 649318560. Its totient is φ = 53303040.

The previous prime is 204671351. The next prime is 204671429. The reversal of 204671400 is 4176402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 21834 + ... + 29766.

It is an arithmetic number, because the mean of its divisors is an integer number (6763735).

Almost surely, 2^204671400 is an apocalyptic number.

204671400 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 204671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324659280).

204671400 is an abundant number, since it is smaller than the sum of its proper divisors (444647160).

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

204671400 is a wasteful number, since it uses less digits than its factorization.

204671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 204671400 is about 14306.3412513473. The cubic root of 204671400 is about 589.3216372696.

The spelling of 204671400 in words is "two hundred four million, six hundred seventy-one thousand, four hundred".