970377408 has 840 divisors, whose sum is σ = 4120322976. Its totient is φ = 218972160.

The previous prime is 970377403. The next prime is 970377467. The reversal of 970377408 is 804773079.

It is not an unprimeable number, because it can be changed into a prime (970377403) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57081016 + ... + 57081032.

Almost surely, 2^970377408 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 970377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060161488).

970377408 is an abundant number, since it is smaller than the sum of its proper divisors (3149945568).

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

970377408 is a wasteful number, since it uses less digits than its factorization.

970377408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 970377408 is about 31150.8813358467. The cubic root of 970377408 is about 990.0266659484.

The spelling of 970377408 in words is "nine hundred seventy million, three hundred seventy-seven thousand, four hundred eight".