970820352 has 216 divisors, whose sum is σ = 2999447360. Its totient is φ = 301086720.

The previous prime is 970820351. The next prime is 970820359. The reversal of 970820352 is 253028079.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (970820351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932827 + ... + 2933157.

Almost surely, 2^970820352 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 970820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499723680).

970820352 is an abundant number, since it is smaller than the sum of its proper divisors (2028627008).

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

970820352 is a wasteful number, since it uses less digits than its factorization.

970820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 970820352 is about 31157.9901790857. The cubic root of 970820352 is about 990.1772807713.

The spelling of 970820352 in words is "nine hundred seventy million, eight hundred twenty thousand, three hundred fifty-two".