252760320 has 216 divisors, whose sum is σ = 899674776. Its totient is φ = 65470464.

The previous prime is 252760289. The next prime is 252760331. The reversal of 252760320 is 23067252.

252760320 is a `hidden beast` number, since 2 + 52 + 7 + 603 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 170459136 = 9072^2 + 13056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425944 + ... + 426536.

It is an arithmetic number, because the mean of its divisors is an integer number (4165161).

Almost surely, 2^252760320 is an apocalyptic number.

252760320 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 252760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449837388).

252760320 is an abundant number, since it is smaller than the sum of its proper divisors (646914456).

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

252760320 is a wasteful number, since it uses less digits than its factorization.

252760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 252760320 is about 15898.4376590909. The cubic root of 252760320 is about 632.2705672672.

The spelling of 252760320 in words is "two hundred fifty-two million, seven hundred sixty thousand, three hundred twenty".