252974016 has 70 divisors (see below), whose sum is σ = 749909600. Its totient is φ = 84322944.

The previous prime is 252974011. The next prime is 252974027. The reversal of 252974016 is 610479252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252974011) 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 9 ways as a sum of consecutive naturals, for example, 19216 + ... + 29583.

Almost surely, 2^252974016 is an apocalyptic number.

It is an amenable number.

252974016 is an abundant number, since it is smaller than the sum of its proper divisors (496935584).

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

252974016 is an equidigital number, since it uses as much as digits as its factorization.

252974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48823 (or 48804 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 252974016 is about 15905.1568995719. The cubic root of 252974016 is about 632.4487012820.

The spelling of 252974016 in words is "two hundred fifty-two million, nine hundred seventy-four thousand, sixteen".