252307040 has 48 divisors (see below), whose sum is σ = 603650880. Its totient is φ = 99640320.

The previous prime is 252307039. The next prime is 252307093. The reversal of 252307040 is 40703252.

It is a junction number, because it is equal to n+sod(n) for n = 252306997 and 252307015.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2660 + ... + 22620.

It is an arithmetic number, because the mean of its divisors is an integer number (12576060).

Almost surely, 2^252307040 is an apocalyptic number.

252307040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301825440).

252307040 is an abundant number, since it is smaller than the sum of its proper divisors (351343840).

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

252307040 is a wasteful number, since it uses less digits than its factorization.

252307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20047 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 252307040 is about 15884.1757733916. The cubic root of 252307040 is about 631.8923867406.

The spelling of 252307040 in words is "two hundred fifty-two million, three hundred seven thousand, forty".