945260316 has 288 divisors, whose sum is σ = 3399072768. Its totient is φ = 213166080.

The previous prime is 945260311. The next prime is 945260341. The reversal of 945260316 is 613062549.

It is a happy number.

945260316 is a `hidden beast` number, since 9 + 45 + 2 + 603 + 1 + 6 = 666.

945260316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (945260311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611841 + ... + 613383.

It is an arithmetic number, because the mean of its divisors is an integer number (11802336).

Almost surely, 2^945260316 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 945260316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699536384).

945260316 is an abundant number, since it is smaller than the sum of its proper divisors (2453812452).

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

945260316 is a wasteful number, since it uses less digits than its factorization.

945260316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 945260316 is about 30745.0860463912. The cubic root of 945260316 is about 981.4099917573.

The spelling of 945260316 in words is "nine hundred forty-five million, two hundred sixty thousand, three hundred sixteen".