252041040 has 120 divisors (see below), whose sum is σ = 869406408. Its totient is φ = 65387520.

The previous prime is 252041039. The next prime is 252041071. The reversal of 252041040 is 40140252.

252041040 is a `hidden beast` number, since 252 + 0 + 410 + 4 + 0 = 666.

252041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100160064 + 151880976 = 10008^2 + 12324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21910 + ... + 31370.

Almost surely, 2^252041040 is an apocalyptic number.

252041040 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 252041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434703204).

252041040 is an abundant number, since it is smaller than the sum of its proper divisors (617365368).

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

252041040 is a wasteful number, since it uses less digits than its factorization.

252041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252041040 is about 15875.8004522607. The cubic root of 252041040 is about 631.6702467137.

Adding to 252041040 its reverse (40140252), we get a palindrome (292181292).

It can be divided in two parts, 25204 and 1040, that added together give a square (26244 = 162²).

The spelling of 252041040 in words is "two hundred fifty-two million, forty-one thousand, forty".