945009080 has 128 divisors (see below), whose sum is σ = 2361960000. Its totient is φ = 338817024.

The previous prime is 945009067. The next prime is 945009083. The reversal of 945009080 is 80900549.

945009080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 30741²-1.

It is a super-2 number, since 2×945009080² = 1786084322564892800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 945009080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945009083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167716 + ... + 1168524.

Almost surely, 2^945009080 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 945009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180980000).

945009080 is an abundant number, since it is smaller than the sum of its proper divisors (1416950920).

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

945009080 is a wasteful number, since it uses less digits than its factorization.

945009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 945009080 is about 30740.9999837351. Note that the first 4 decimals coincide. The cubic root of 945009080 is about 981.3230360393.

The spelling of 945009080 in words is "nine hundred forty-five million, nine thousand, eighty".