252083436 has 48 divisors (see below), whose sum is σ = 647931648. Its totient is φ = 75643200.

The previous prime is 252083411. The next prime is 252083453. The reversal of 252083436 is 634380252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 252083397 and 252083406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (13498576).

Almost surely, 2^252083436 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 252083436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323965824).

252083436 is an abundant number, since it is smaller than the sum of its proper divisors (395848212).

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

252083436 is a wasteful number, since it uses less digits than its factorization.

252083436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18662 (or 18660 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 252083436 is about 15877.1356358759. The cubic root of 252083436 is about 631.7056626263.

The spelling of 252083436 in words is "two hundred fifty-two million, eighty-three thousand, four hundred thirty-six".