971828460 has 72 divisors (see below), whose sum is σ = 3121294176. Its totient is φ = 243909120.

The previous prime is 971828387. The next prime is 971828489. The reversal of 971828460 is 64828179.

971828460 is a `hidden beast` number, since 9 + 7 + 182 + 8 + 460 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155736 + ... + 161855.

It is an arithmetic number, because the mean of its divisors is an integer number (43351308).

Almost surely, 2^971828460 is an apocalyptic number.

971828460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971828460 is an abundant number, since it is smaller than the sum of its proper divisors (2149465716).

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

971828460 is a wasteful number, since it uses less digits than its factorization.

971828460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317623 (or 317618 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 971828460 is about 31174.1633408180. The cubic root of 971828460 is about 990.5198983388.

The spelling of 971828460 in words is "nine hundred seventy-one million, eight hundred twenty-eight thousand, four hundred sixty".