252163584 has 320 divisors, whose sum is σ = 839678400. Its totient is φ = 74317824.

The previous prime is 252163537. The next prime is 252163607. The reversal of 252163584 is 485361252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815214 + ... + 6815250.

It is an arithmetic number, because the mean of its divisors is an integer number (2623995).

Almost surely, 2^252163584 is an apocalyptic number.

252163584 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 252163584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419839200).

252163584 is an abundant number, since it is smaller than the sum of its proper divisors (587514816).

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

252163584 is a wasteful number, since it uses less digits than its factorization.

252163584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 252163584 is about 15879.6594421921. The cubic root of 252163584 is about 631.7726041932.

The spelling of 252163584 in words is "two hundred fifty-two million, one hundred sixty-three thousand, five hundred eighty-four".