825972480 has 108 divisors (see below), whose sum is σ = 2857818600. Its totient is φ = 220256256.

The previous prime is 825972473. The next prime is 825972491. The reversal of 825972480 is 84279528.

825972480 is a `hidden beast` number, since 82 + 5 + 97 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 24330 + ... + 47369.

Almost surely, 2^825972480 is an apocalyptic number.

825972480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825972480 is an abundant number, since it is smaller than the sum of its proper divisors (2031846120).

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

825972480 is a wasteful number, since it uses less digits than its factorization.

825972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71726 (or 71709 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 825972480 is about 28739.7369507795. The cubic root of 825972480 is about 938.2570993560.

The spelling of 825972480 in words is "eight hundred twenty-five million, nine hundred seventy-two thousand, four hundred eighty".