252883620 has 240 divisors, whose sum is σ = 904514688. Its totient is φ = 58544640.

The previous prime is 252883601. The next prime is 252883627. The reversal of 252883620 is 26388252.

252883620 is a `hidden beast` number, since 2 + 5 + 28 + 8 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252883627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 409552 + ... + 410168.

Almost surely, 2^252883620 is an apocalyptic number.

252883620 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 252883620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452257344).

252883620 is an abundant number, since it is smaller than the sum of its proper divisors (651631068).

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

252883620 is a wasteful number, since it uses less digits than its factorization.

252883620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 252883620 is about 15902.3149258213. The cubic root of 252883620 is about 632.3733606802.

The spelling of 252883620 in words is "two hundred fifty-two million, eight hundred eighty-three thousand, six hundred twenty".