252546756 has 192 divisors, whose sum is σ = 772208640. Its totient is φ = 62346240.

The previous prime is 252546733. The next prime is 252546773. The reversal of 252546756 is 657645252.

252546756 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252546756² = 127559727932247072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2837560 + ... + 2837648.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^252546756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252546756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

252546756 is an abundant number, since it is smaller than the sum of its proper divisors (519661884).

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

252546756 is a wasteful number, since it uses less digits than its factorization.

252546756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 252546756 is about 15891.7197307277. The cubic root of 252546756 is about 632.0924429483.

The spelling of 252546756 in words is "two hundred fifty-two million, five hundred forty-six thousand, seven hundred fifty-six".