825268384 has 24 divisors (see below), whose sum is σ = 1662534720. Its totient is φ = 403037376.

The previous prime is 825268369. The next prime is 825268393. The reversal of 825268384 is 483862528.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298504 + ... + 301255.

It is an arithmetic number, because the mean of its divisors is an integer number (69272280).

Almost surely, 2^825268384 is an apocalyptic number.

It is an amenable number.

825268384 is an abundant number, since it is smaller than the sum of its proper divisors (837266336).

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

825268384 is a wasteful number, since it uses less digits than its factorization.

825268384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599812 (or 599804 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 825268384 is about 28727.4848185496. The cubic root of 825268384 is about 937.9904194159.

It can be divided in two parts, 8252 and 68384, that added together give a triangular number (76636 = T₃₉₁).

The spelling of 825268384 in words is "eight hundred twenty-five million, two hundred sixty-eight thousand, three hundred eighty-four".