252605040 has 160 divisors (see below), whose sum is σ = 838714176. Its totient is φ = 62668800.

The previous prime is 252605033. The next prime is 252605053. The reversal of 252605040 is 40506252.

252605040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 252605040.

It is a congruent number.

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, 411774 + ... + 412386.

Almost surely, 2^252605040 is an apocalyptic number.

252605040 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 252605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419357088).

252605040 is an abundant number, since it is smaller than the sum of its proper divisors (586109136).

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

252605040 is a wasteful number, since it uses less digits than its factorization.

252605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 252605040 is about 15893.5534101094. The cubic root of 252605040 is about 632.1410650237.

The spelling of 252605040 in words is "two hundred fifty-two million, six hundred five thousand, forty".