252496032 has 96 divisors (see below), whose sum is σ = 684536832. Its totient is φ = 81448704.

The previous prime is 252496031. The next prime is 252496037. The reversal of 252496032 is 230694252.

252496032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 252495984 and 252496002.

It is not an unprimeable number, because it can be changed into a prime (252496031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 482523 + ... + 483045.

It is an arithmetic number, because the mean of its divisors is an integer number (7130592).

Almost surely, 2^252496032 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 252496032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342268416).

252496032 is an abundant number, since it is smaller than the sum of its proper divisors (432040800).

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

252496032 is a wasteful number, since it uses less digits than its factorization.

252496032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 252496032 is about 15890.1237251319. The cubic root of 252496032 is about 632.0501215390.

The spelling of 252496032 in words is "two hundred fifty-two million, four hundred ninety-six thousand, thirty-two".