252569340 has 168 divisors, whose sum is σ = 842834160. Its totient is φ = 63327744.

The previous prime is 252569309. The next prime is 252569353. The reversal of 252569340 is 43965252.

252569340 is a `hidden beast` number, since 2 + 52 + 569 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252569295 and 252569304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 247351 + ... + 248369.

It is an arithmetic number, because the mean of its divisors is an integer number (5016870).

Almost surely, 2^252569340 is an apocalyptic number.

252569340 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 252569340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421417080).

252569340 is an abundant number, since it is smaller than the sum of its proper divisors (590264820).

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

252569340 is a wasteful number, since it uses less digits than its factorization.

252569340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 252569340 is about 15892.4302735611. The cubic root of 252569340 is about 632.1112840142. Note that the first 3 decimals are identical.

It can be divided in two parts, 25256 and 9340, that added together give a square (34596 = 186²).

The spelling of 252569340 in words is "two hundred fifty-two million, five hundred sixty-nine thousand, three hundred forty".