252204840 has 216 divisors, whose sum is σ = 879490170. Its totient is φ = 65085120.

The previous prime is 252204833. The next prime is 252204863. The reversal of 252204840 is 48402252.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 226984356 + 25220484 = 15066^2 + 5022^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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 53 ways as a sum of consecutive naturals, for example, 8135625 + ... + 8135655.

Almost surely, 2^252204840 is an apocalyptic number.

252204840 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 252204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439745085).

252204840 is an abundant number, since it is smaller than the sum of its proper divisors (627285330).

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

252204840 is an frugal number, since it uses more digits than its factorization.

252204840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

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

The square root of 252204840 is about 15880.9584093656. The cubic root of 252204840 is about 631.8070566821.

The spelling of 252204840 in words is "two hundred fifty-two million, two hundred four thousand, eight hundred forty".