252031040 has 56 divisors (see below), whose sum is σ = 608426520. Its totient is φ = 99422208.

The previous prime is 252031007. The next prime is 252031049. The reversal of 252031040 is 40130252.

It can be written as a sum of positive squares in 4 ways, for example, as 26790976 + 225240064 = 5176^2 + 15008^2 .

It is not an unprimeable number, because it can be changed into a prime (252031049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17966 + ... + 28754.

Almost surely, 2^252031040 is an apocalyptic number.

252031040 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 252031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304213260).

252031040 is an abundant number, since it is smaller than the sum of its proper divisors (356395480).

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

252031040 is a wasteful number, since it uses less digits than its factorization.

252031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 252031040 is about 15875.4855043869. The cubic root of 252031040 is about 631.6618925371.

Adding to 252031040 its reverse (40130252), we get a palindrome (292161292).

The spelling of 252031040 in words is "two hundred fifty-two million, thirty-one thousand, forty".