971274240 has 240 divisors, whose sum is σ = 3484320840. Its totient is φ = 258785280.

The previous prime is 971274191. The next prime is 971274253. The reversal of 971274240 is 42472179.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 971274195 and 971274204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828855 + ... + 830025.

Almost surely, 2^971274240 is an apocalyptic number.

971274240 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 971274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742160420).

971274240 is an abundant number, since it is smaller than the sum of its proper divisors (2513046600).

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

971274240 is a wasteful number, since it uses less digits than its factorization.

971274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 971274240 is about 31165.2729813169. The cubic root of 971274240 is about 990.3315693796.

The spelling of 971274240 in words is "nine hundred seventy-one million, two hundred seventy-four thousand, two hundred forty".