969120450 has 216 divisors, whose sum is σ = 2823663024. Its totient is φ = 247082400.

The previous prime is 969120437. The next prime is 969120461. The reversal of 969120450 is 54021969.

969120450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11676109 + ... + 11676191.

It is an arithmetic number, because the mean of its divisors is an integer number (13072514).

Almost surely, 2^969120450 is an apocalyptic number.

969120450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 969120450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411831512).

969120450 is an abundant number, since it is smaller than the sum of its proper divisors (1854542574).

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

969120450 is a wasteful number, since it uses less digits than its factorization.

969120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 969120450 is about 31130.6994781678. The cubic root of 969120450 is about 989.5990111594.

The spelling of 969120450 in words is "nine hundred sixty-nine million, one hundred twenty thousand, four hundred fifty".