252543040 has 56 divisors (see below), whose sum is σ = 604235520. Its totient is φ = 100535808.

The previous prime is 252543037. The next prime is 252543047. The reversal of 252543040 is 40345252.

It is a junction number, because it is equal to n+sod(n) for n = 252542996 and 252543014.

It is not an unprimeable number, because it can be changed into a prime (252543047) 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, 69591 + ... + 73129.

It is an arithmetic number, because the mean of its divisors is an integer number (10789920).

Almost surely, 2^252543040 is an apocalyptic number.

252543040 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 252543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302117760).

252543040 is an abundant number, since it is smaller than the sum of its proper divisors (351692480).

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

252543040 is a wasteful number, since it uses less digits than its factorization.

252543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 252543040 is about 15891.6028140650. The cubic root of 252543040 is about 632.0893427078.

Adding to 252543040 its reverse (40345252), we get a palindrome (292888292).

The spelling of 252543040 in words is "two hundred fifty-two million, five hundred forty-three thousand, forty".