945385320 has 256 divisors, whose sum is σ = 3214080000. Its totient is φ = 220492800.

The previous prime is 945385313. The next prime is 945385349. The reversal of 945385320 is 23583549.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4750581 + ... + 4750779.

It is an arithmetic number, because the mean of its divisors is an integer number (12555000).

Almost surely, 2^945385320 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 945385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040000).

945385320 is an abundant number, since it is smaller than the sum of its proper divisors (2268694680).

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

945385320 is a wasteful number, since it uses less digits than its factorization.

945385320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 945385320 is about 30747.1188894179. The cubic root of 945385320 is about 981.4532513635.

The spelling of 945385320 in words is "nine hundred forty-five million, three hundred eighty-five thousand, three hundred twenty".