252362496 has 144 divisors (see below), whose sum is σ = 704640384. Its totient is φ = 80105472.

The previous prime is 252362491. The next prime is 252362497. The reversal of 252362496 is 694263252.

252362496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252362491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2358475 + ... + 2358581.

It is an arithmetic number, because the mean of its divisors is an integer number (4893336).

Almost surely, 2^252362496 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 252362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352320192).

252362496 is an abundant number, since it is smaller than the sum of its proper divisors (452277888).

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

252362496 is a wasteful number, since it uses less digits than its factorization.

252362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 252362496 is about 15885.9213141700. The cubic root of 252362496 is about 631.9386790902.

The spelling of 252362496 in words is "two hundred fifty-two million, three hundred sixty-two thousand, four hundred ninety-six".