971844480 has 224 divisors, whose sum is σ = 3485052360. Its totient is φ = 259034112.

The previous prime is 971844469. The next prime is 971844527. The reversal of 971844480 is 84448179.

971844480 is a `hidden beast` number, since 97 + 1 + 84 + 4 + 480 = 666.

971844480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 465519 + ... + 467601.

Almost surely, 2^971844480 is an apocalyptic number.

971844480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742526180).

971844480 is an abundant number, since it is smaller than the sum of its proper divisors (2513207880).

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

971844480 is an equidigital number, since it uses as much as digits as its factorization.

971844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 971844480 is about 31174.4202833028. The cubic root of 971844480 is about 990.5253410145.

The spelling of 971844480 in words is "nine hundred seventy-one million, eight hundred forty-four thousand, four hundred eighty".