882144450 has 216 divisors, whose sum is σ = 2761206084. Its totient is φ = 201062400.

The previous prime is 882144443. The next prime is 882144469. The reversal of 882144450 is 54441288.

It can be written as a sum of positive squares in 6 ways, for example, as 409212441 + 472932009 = 20229^2 + 21747^2 .

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 925174 + ... + 926126.

Almost surely, 2^882144450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380603042).

882144450 is an abundant number, since it is smaller than the sum of its proper divisors (1879061634).

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

882144450 is a wasteful number, since it uses less digits than its factorization.

882144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 882144450 is about 29700.9166525210. The cubic root of 882144450 is about 959.0617460587.

The spelling of 882144450 in words is "eight hundred eighty-two million, one hundred forty-four thousand, four hundred fifty".