204327040 has 128 divisors (see below), whose sum is σ = 514998000. Its totient is φ = 77414400.

The previous prime is 204327037. The next prime is 204327043. The reversal of 204327040 is 40723402.

It is an interprime number because it is at equal distance from previous prime (204327037) and next prime (204327043).

It can be written as a sum of positive squares in 8 ways, for example, as 165688384 + 38638656 = 12872^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (204327043) 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, 1874506 + ... + 1874614.

Almost surely, 2^204327040 is an apocalyptic number.

204327040 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 204327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257499000).

204327040 is an abundant number, since it is smaller than the sum of its proper divisors (310670960).

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

204327040 is a wasteful number, since it uses less digits than its factorization.

204327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 204327040 is about 14294.3009622716. The cubic root of 204327040 is about 588.9909401612.

It can be divided in two parts, 20432 and 7040, that added together give a palindrome (27472).

The spelling of 204327040 in words is "two hundred four million, three hundred twenty-seven thousand, forty".