252305280 has 320 divisors, whose sum is σ = 936017280. Its totient is φ = 64696320.

The previous prime is 252305201. The next prime is 252305327. The reversal of 252305280 is 82503252.

252305280 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 (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606962 + ... + 1607118.

It is an arithmetic number, because the mean of its divisors is an integer number (2925054).

Almost surely, 2^252305280 is an apocalyptic number.

252305280 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 252305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468008640).

252305280 is an abundant number, since it is smaller than the sum of its proper divisors (683712000).

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

252305280 is a wasteful number, since it uses less digits than its factorization.

252305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252305280 is about 15884.1203722460. The cubic root of 252305280 is about 631.8909174551.

The spelling of 252305280 in words is "two hundred fifty-two million, three hundred five thousand, two hundred eighty".