969400320 has 448 divisors, whose sum is σ = 3774643200. Its totient is φ = 211943424.

The previous prime is 969400319. The next prime is 969400331. The reversal of 969400320 is 23004969.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×969400320² = 1879473960832204800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42147829 + ... + 42147851.

Almost surely, 2^969400320 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 969400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887321600).

969400320 is an abundant number, since it is smaller than the sum of its proper divisors (2805242880).

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

969400320 is an equidigital number, since it uses as much as digits as its factorization.

969400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 969400320 is about 31135.1942341781. The cubic root of 969400320 is about 989.6942633092.

The spelling of 969400320 in words is "nine hundred sixty-nine million, four hundred thousand, three hundred twenty".