971873280 has 528 divisors, whose sum is σ = 4046575104. Its totient is φ = 210862080.

The previous prime is 971873267. The next prime is 971873333. The reversal of 971873280 is 82378179.

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 47 ways as a sum of consecutive naturals, for example, 7418815 + ... + 7418945.

It is an arithmetic number, because the mean of its divisors is an integer number (7663968).

Almost surely, 2^971873280 is an apocalyptic number.

971873280 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 971873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023287552).

971873280 is an abundant number, since it is smaller than the sum of its proper divisors (3074701824).

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

971873280 is a wasteful number, since it uses less digits than its factorization.

971873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 971873280 is about 31174.8821970509. The cubic root of 971873280 is about 990.5351254497.

The spelling of 971873280 in words is "nine hundred seventy-one million, eight hundred seventy-three thousand, two hundred eighty".