204204672 has 256 divisors, whose sum is σ = 720691200. Its totient is φ = 55655424.

The previous prime is 204204661. The next prime is 204204683. The reversal of 204204672 is 276402402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204204661) and next prime (204204683).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556233 + ... + 556599.

It is an arithmetic number, because the mean of its divisors is an integer number (2815200).

Almost surely, 2^204204672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360345600).

204204672 is an abundant number, since it is smaller than the sum of its proper divisors (516486528).

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

204204672 is a wasteful number, since it uses less digits than its factorization.

204204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204204672 is about 14290.0200139818. The cubic root of 204204672 is about 588.8733377853.

The spelling of 204204672 in words is "two hundred four million, two hundred four thousand, six hundred seventy-two".