252059392 has 144 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 107053056.

The previous prime is 252059389. The next prime is 252059473. The reversal of 252059392 is 293950252.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a zygodrome in base 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2832084 + ... + 2832172.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^252059392 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 252059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

252059392 is an abundant number, since it is smaller than the sum of its proper divisors (335140928).

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

252059392 is a wasteful number, since it uses less digits than its factorization.

252059392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 252059392 is about 15876.3784283444. The cubic root of 252059392 is about 631.6855777235.

The spelling of 252059392 in words is "two hundred fifty-two million, fifty-nine thousand, three hundred ninety-two".