252946080 has 144 divisors (see below), whose sum is σ = 867714120. Its totient is φ = 67098624.

The previous prime is 252946079. The next prime is 252946087. The reversal of 252946080 is 80649252.

It is a happy number.

252946080 is a `hidden beast` number, since 25 + 29 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105760656 + 147185424 = 10284^2 + 12132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (252946087) 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 23 ways as a sum of consecutive naturals, for example, 387034 + ... + 387686.

Almost surely, 2^252946080 is an apocalyptic number.

252946080 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 252946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433857060).

252946080 is an abundant number, since it is smaller than the sum of its proper divisors (614768040).

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

252946080 is a wasteful number, since it uses less digits than its factorization.

252946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252946080 is about 15904.2786695908. The cubic root of 252946080 is about 632.4254199221.

The spelling of 252946080 in words is "two hundred fifty-two million, nine hundred forty-six thousand, eighty".