252757260 has 240 divisors, whose sum is σ = 936714240. Its totient is φ = 55831680.

The previous prime is 252757217. The next prime is 252757289. The reversal of 252757260 is 62757252.

252757260 is a `hidden beast` number, since 2 + 5 + 27 + 572 + 60 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 351181 + ... + 351899.

It is an arithmetic number, because the mean of its divisors is an integer number (3902976).

Almost surely, 2^252757260 is an apocalyptic number.

252757260 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 252757260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468357120).

252757260 is an abundant number, since it is smaller than the sum of its proper divisors (683956980).

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

252757260 is a wasteful number, since it uses less digits than its factorization.

252757260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 252757260 is about 15898.3414229284. The cubic root of 252757260 is about 632.2680157647.

The spelling of 252757260 in words is "two hundred fifty-two million, seven hundred fifty-seven thousand, two hundred sixty".