970273920 has 256 divisors, whose sum is σ = 3856481280. Its totient is φ = 201584640.

The previous prime is 970273919. The next prime is 970273921. The reversal of 970273920 is 29372079.

It is an interprime number because it is at equal distance from previous prime (970273919) and next prime (970273921).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (970273921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144559 + ... + 151121.

It is an arithmetic number, because the mean of its divisors is an integer number (15064380).

Almost surely, 2^970273920 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 970273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928240640).

970273920 is an abundant number, since it is smaller than the sum of its proper divisors (2886207360).

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

970273920 is a wasteful number, since it uses less digits than its factorization.

970273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 970273920 is about 31149.2202149588. The cubic root of 970273920 is about 989.9914701846.

The spelling of 970273920 in words is "nine hundred seventy million, two hundred seventy-three thousand, nine hundred twenty".