252809040 has 320 divisors, whose sum is σ = 933368832. Its totient is φ = 55910400.

The previous prime is 252809033. The next prime is 252809047. The reversal of 252809040 is 40908252.

252809040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252809033) and next prime (252809047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252808989 and 252809007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252809047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1929775 + ... + 1929905.

Almost surely, 2^252809040 is an apocalyptic number.

252809040 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 252809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466684416).

252809040 is an abundant number, since it is smaller than the sum of its proper divisors (680559792).

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

252809040 is a wasteful number, since it uses less digits than its factorization.

252809040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 252809040 is about 15899.9698112921. The cubic root of 252809040 is about 632.3111884151.

The spelling of 252809040 in words is "two hundred fifty-two million, eight hundred nine thousand, forty".