252060820 has 48 divisors (see below), whose sum is σ = 581732928. Its totient is φ = 90978560.

The previous prime is 252060799. The next prime is 252060833. The reversal of 252060820 is 28060252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25959 + ... + 34321.

It is an arithmetic number, because the mean of its divisors is an integer number (12119436).

Almost surely, 2^252060820 is an apocalyptic number.

252060820 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 252060820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290866464).

252060820 is an abundant number, since it is smaller than the sum of its proper divisors (329672108).

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

252060820 is a wasteful number, since it uses less digits than its factorization.

252060820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 252060820 is about 15876.4234007537. The cubic root of 252060820 is about 631.6867706240.

The spelling of 252060820 in words is "two hundred fifty-two million, sixty thousand, eight hundred twenty".