252641844 has 216 divisors, whose sum is σ = 836559360. Its totient is φ = 63600768.

The previous prime is 252641839. The next prime is 252641849. The reversal of 252641844 is 448146252.

252641844 is a `hidden beast` number, since 2 + 5 + 2 + 641 + 8 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252641839) and next prime (252641849).

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

It is a junction number, because it is equal to n+sod(n) for n = 252641799 and 252641808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252641849) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527197 + ... + 527675.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^252641844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252641844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

252641844 is an abundant number, since it is smaller than the sum of its proper divisors (583917516).

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

252641844 is a wasteful number, since it uses less digits than its factorization.

252641844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 252641844 is about 15894.7111958664. The cubic root of 252641844 is about 632.1717640548.

The spelling of 252641844 in words is "two hundred fifty-two million, six hundred forty-one thousand, eight hundred forty-four".