252723104 has 72 divisors (see below), whose sum is σ = 532290528. Its totient is φ = 118085760.

The previous prime is 252723091. The next prime is 252723143. The reversal of 252723104 is 401327252.

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 11 ways as a sum of consecutive naturals, for example, 1513229 + ... + 1513395.

It is an arithmetic number, because the mean of its divisors is an integer number (7392924).

Almost surely, 2^252723104 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 252723104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266145264).

252723104 is an abundant number, since it is smaller than the sum of its proper divisors (279567424).

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

252723104 is a wasteful number, since it uses less digits than its factorization.

252723104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 252723104 is about 15897.2671865324. The cubic root of 252723104 is about 632.2395342628.

The spelling of 252723104 in words is "two hundred fifty-two million, seven hundred twenty-three thousand, one hundred four".