971940480 has 192 divisors, whose sum is σ = 3604214880. Its totient is φ = 222136320.

The previous prime is 971940467. The next prime is 971940491. The reversal of 971940480 is 84049179.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88915 + ... + 99245.

Almost surely, 2^971940480 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 971940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802107440).

971940480 is an abundant number, since it is smaller than the sum of its proper divisors (2632274400).

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

971940480 is a wasteful number, since it uses less digits than its factorization.

971940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 971940480 is about 31175.9599691814. The cubic root of 971940480 is about 990.5579550468.

The spelling of 971940480 in words is "nine hundred seventy-one million, nine hundred forty thousand, four hundred eighty".