252270648 has 96 divisors (see below), whose sum is σ = 784143360. Its totient is φ = 71772480.

The previous prime is 252270631. The next prime is 252270649. The reversal of 252270648 is 846072252.

252270648 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 7 + 0 + 648 = 666.

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 (252270649) 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, 135661 + ... + 137507.

It is an arithmetic number, because the mean of its divisors is an integer number (8168160).

Almost surely, 2^252270648 is an apocalyptic number.

252270648 is a gapful number since it is divisible by the number (28) 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 252270648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392071680).

252270648 is an abundant number, since it is smaller than the sum of its proper divisors (531872712).

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

252270648 is a wasteful number, since it uses less digits than its factorization.

252270648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252270648 is about 15883.0301894821. The cubic root of 252270648 is about 631.8620045345.

The spelling of 252270648 in words is "two hundred fifty-two million, two hundred seventy thousand, six hundred forty-eight".