875424384 has 96 divisors (see below), whose sum is σ = 2667368340. Its totient is φ = 274636800.

The previous prime is 875424353. The next prime is 875424409. The reversal of 875424384 is 483424578.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 50126400 = 28728^2 + 7080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 2767 + ... + 41934.

Almost surely, 2^875424384 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 875424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333684170).

875424384 is an abundant number, since it is smaller than the sum of its proper divisors (1791943956).

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

875424384 is a wasteful number, since it uses less digits than its factorization.

875424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44738 (or 44723 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 875424384 is about 29587.5714447807. The cubic root of 875424384 is about 956.6201982768.

The spelling of 875424384 in words is "eight hundred seventy-five million, four hundred twenty-four thousand, three hundred eighty-four".