970444800 has 546 divisors, whose sum is σ = 3885499142. Its totient is φ = 238878720.

The previous prime is 970444799. The next prime is 970444807. The reversal of 970444800 is 8444079.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 967458816 = 1728^2 + 31104^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970444807) 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 41 ways as a sum of consecutive naturals, for example, 74649594 + ... + 74649606.

Almost surely, 2^970444800 is an apocalyptic number.

970444800 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 970444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942749571).

970444800 is an abundant number, since it is smaller than the sum of its proper divisors (2915054342).

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

970444800 is an equidigital number, since it uses as much as digits as its factorization.

970444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 970444800 is about 31151.9630200089. The cubic root of 970444800 is about 990.0495842934.

Adding to 970444800 its reverse (8444079), we get a palindrome (978888879).

The spelling of 970444800 in words is "nine hundred seventy million, four hundred forty-four thousand, eight hundred".