204252840 has 240 divisors, whose sum is σ = 756049140. Its totient is φ = 49420800.

The previous prime is 204252823. The next prime is 204252859. The reversal of 204252840 is 48252402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 197627364 + 6625476 = 14058^2 + 2574^2 .

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 59 ways as a sum of consecutive naturals, for example, 391780 + ... + 392300.

Almost surely, 2^204252840 is an apocalyptic number.

204252840 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 204252840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378024570).

204252840 is an abundant number, since it is smaller than the sum of its proper divisors (551796300).

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

204252840 is a wasteful number, since it uses less digits than its factorization.

204252840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 204252840 is about 14291.7052866339. The cubic root of 204252840 is about 588.9196354871.

The spelling of 204252840 in words is "two hundred four million, two hundred fifty-two thousand, eight hundred forty".