204402264 has 64 divisors (see below), whose sum is σ = 562947840. Its totient is φ = 61330560.

The previous prime is 204402259. The next prime is 204402269. The reversal of 204402264 is 462204402.

204402264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204402259) and next prime (204402269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204402269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23434 + ... + 30950.

It is an arithmetic number, because the mean of its divisors is an integer number (8796060).

Almost surely, 2^204402264 is an apocalyptic number.

204402264 is a gapful number since it is divisible by the number (24) 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 204402264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281473920).

204402264 is an abundant number, since it is smaller than the sum of its proper divisors (358545576).

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

204402264 is a wasteful number, since it uses less digits than its factorization.

204402264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 204402264 is about 14296.9319785750. The cubic root of 204402264 is about 589.0632112589.

Adding to 204402264 its reverse (462204402), we get a palindrome (666606666).

The spelling of 204402264 in words is "two hundred four million, four hundred two thousand, two hundred sixty-four".