252327264 has 192 divisors, whose sum is σ = 790272000. Its totient is φ = 70447104.

The previous prime is 252327263. The next prime is 252327301. The reversal of 252327264 is 462723252.

Its product of digits (40320) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252327263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601264 + ... + 2601360.

It is an arithmetic number, because the mean of its divisors is an integer number (4116000).

Almost surely, 2^252327264 is an apocalyptic number.

252327264 is a gapful number since it is divisible by the number (24) 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 252327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136000).

252327264 is an abundant number, since it is smaller than the sum of its proper divisors (537944736).

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

252327264 is an equidigital number, since it uses as much as digits as its factorization.

252327264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 252327264 is about 15884.8123690524. The cubic root of 252327264 is about 631.9092696757.

The spelling of 252327264 in words is "two hundred fifty-two million, three hundred twenty-seven thousand, two hundred sixty-four".