971399520 has 576 divisors, whose sum is σ = 4271279040. Its totient is φ = 204374016.

The previous prime is 971399501. The next prime is 971399557. The reversal of 971399520 is 25993179.

It is a happy number.

971399520 is a `hidden beast` number, since 97 + 1 + 39 + 9 + 520 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751664 + ... + 2752016.

It is an arithmetic number, because the mean of its divisors is an integer number (7415415).

Almost surely, 2^971399520 is an apocalyptic number.

971399520 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 971399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135639520).

971399520 is an abundant number, since it is smaller than the sum of its proper divisors (3299879520).

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

971399520 is a wasteful number, since it uses less digits than its factorization.

971399520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 971399520 is about 31167.2828459588. The cubic root of 971399520 is about 990.3741469202.

The spelling of 971399520 in words is "nine hundred seventy-one million, three hundred ninety-nine thousand, five hundred twenty".