252326880 has 192 divisors, whose sum is σ = 951289920. Its totient is φ = 62097408.

The previous prime is 252326861. The next prime is 252326923. The reversal of 252326880 is 88623252.

252326880 is a `hidden beast` number, since 252 + 326 + 8 + 80 = 666.

252326880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

252326880 is a nontrivial binomial coefficient, being equal to C(22465, 2).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53914 + ... + 58406.

It is an arithmetic number, because the mean of its divisors is an integer number (4954635).

Almost surely, 2^252326880 is an apocalyptic number.

252326880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252326880 is the 22464-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475644960).

252326880 is an abundant number, since it is smaller than the sum of its proper divisors (698963040).

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

252326880 is a wasteful number, since it uses less digits than its factorization.

252326880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4516 counting only the distinct ones).

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

The square root of 252326880 is about 15884.8002820306. The cubic root of 252326880 is about 631.9089491221.

It can be divided in two parts, 2523 and 26880, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 252326880 in words is "two hundred fifty-two million, three hundred twenty-six thousand, eight hundred eighty".