252919080 has 192 divisors, whose sum is σ = 859921920. Its totient is φ = 64396800.

The previous prime is 252919033. The next prime is 252919133. The reversal of 252919080 is 80919252.

252919080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252919080² = 127936122056092800, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461874 + ... + 1462046.

It is an arithmetic number, because the mean of its divisors is an integer number (4478760).

Almost surely, 2^252919080 is an apocalyptic number.

252919080 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 252919080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429960960).

252919080 is an abundant number, since it is smaller than the sum of its proper divisors (607002840).

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

252919080 is a wasteful number, since it uses less digits than its factorization.

252919080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 252919080 is about 15903.4298187529. The cubic root of 252919080 is about 632.4029169788.

It can be divided in two parts, 2529 and 19080, that added together give a square (21609 = 147²).

The spelling of 252919080 in words is "two hundred fifty-two million, nine hundred nineteen thousand, eighty".