252843282432 has 416 divisors, whose sum is σ = 818387055360. Its totient is φ = 76671221760.

The previous prime is 252843282431. The next prime is 252843282443. The reversal of 252843282432 is 234282348252.

252843282432 is a `hidden beast` number, since 2 + 5 + 2 + 84 + 328 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-4 number, since 4×252843282432⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252843282431) 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, 102075178 + ... + 102077654.

Almost surely, 2^252843282432 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 252843282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409193527680).

252843282432 is an abundant number, since it is smaller than the sum of its proper divisors (565543772928).

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

252843282432 is a wasteful number, since it uses less digits than its factorization.

252843282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2566 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 252843282432 in words is "two hundred fifty-two billion, eight hundred forty-three million, two hundred eighty-two thousand, four hundred thirty-two".