252616770 has 192 divisors, whose sum is σ = 806008320. Its totient is φ = 53581824.

The previous prime is 252616759. The next prime is 252616783. The reversal of 252616770 is 77616252.

252616770 is a `hidden beast` number, since 2 + 526 + 1 + 67 + 70 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1103016 + ... + 1103244.

It is an arithmetic number, because the mean of its divisors is an integer number (4197960).

Almost surely, 2^252616770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252616770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403004160).

252616770 is an abundant number, since it is smaller than the sum of its proper divisors (553391550).

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

252616770 is a wasteful number, since it uses less digits than its factorization.

252616770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 252616770 is about 15893.9224233667. The cubic root of 252616770 is about 632.1508496000.

The spelling of 252616770 in words is "two hundred fifty-two million, six hundred sixteen thousand, seven hundred seventy".