252250440 has 128 divisors (see below), whose sum is σ = 823858560. Its totient is φ = 61415424.

The previous prime is 252250391. The next prime is 252250451. The reversal of 252250440 is 44052252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252250440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150487 + ... + 152153.

It is an arithmetic number, because the mean of its divisors is an integer number (6436395).

Almost surely, 2^252250440 is an apocalyptic number.

252250440 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 252250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411929280).

252250440 is an abundant number, since it is smaller than the sum of its proper divisors (571608120).

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

252250440 is a wasteful number, since it uses less digits than its factorization.

252250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 252250440 is about 15882.3940260907. The cubic root of 252250440 is about 631.8451324325.

The spelling of 252250440 in words is "two hundred fifty-two million, two hundred fifty thousand, four hundred forty".