970042080 has 384 divisors, whose sum is σ = 3684925440. Its totient is φ = 209848320.

The previous prime is 970042079. The next prime is 970042091. The reversal of 970042080 is 80240079.

970042080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6978651 + ... + 6978789.

It is an arithmetic number, because the mean of its divisors is an integer number (9596160).

Almost surely, 2^970042080 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 970042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842462720).

970042080 is an abundant number, since it is smaller than the sum of its proper divisors (2714883360).

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

970042080 is a wasteful number, since it uses less digits than its factorization.

970042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 970042080 is about 31145.4985511550. The cubic root of 970042080 is about 989.9126134478.

The spelling of 970042080 in words is "nine hundred seventy million, forty-two thousand, eighty".