252945360 has 120 divisors (see below), whose sum is σ = 860421120. Its totient is φ = 66583296.

The previous prime is 252945349. The next prime is 252945361. The reversal of 252945360 is 63549252.

252945360 is a `hidden beast` number, since 2 + 5 + 294 + 5 + 360 = 666.

252945360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252945361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54657 + ... + 59103.

It is an arithmetic number, because the mean of its divisors is an integer number (7170176).

Almost surely, 2^252945360 is an apocalyptic number.

252945360 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 252945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430210560).

252945360 is an abundant number, since it is smaller than the sum of its proper divisors (607475760).

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

252945360 is a wasteful number, since it uses less digits than its factorization.

252945360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4536 counting only the distinct ones).

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

The square root of 252945360 is about 15904.2560341564. The cubic root of 252945360 is about 632.4248198644.

The spelling of 252945360 in words is "two hundred fifty-two million, nine hundred forty-five thousand, three hundred sixty".