252605760 has 224 divisors, whose sum is σ = 921715200. Its totient is φ = 57968640.

The previous prime is 252605753. The next prime is 252605761. The reversal of 252605760 is 67506252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252605761) 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 31 ways as a sum of consecutive naturals, for example, 200011 + ... + 201269.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^252605760 is an apocalyptic number.

252605760 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 252605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460857600).

252605760 is an abundant number, since it is smaller than the sum of its proper divisors (669109440).

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

252605760 is a wasteful number, since it uses less digits than its factorization.

252605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 252605760 is about 15893.5760607863. The cubic root of 252605760 is about 632.1416656202.

The spelling of 252605760 in words is "two hundred fifty-two million, six hundred five thousand, seven hundred sixty".