945074880 has 336 divisors, whose sum is σ = 3494836800. Its totient is φ = 233570304.

The previous prime is 945074861. The next prime is 945074903. The reversal of 945074880 is 88470549.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4749021 + ... + 4749219.

It is an arithmetic number, because the mean of its divisors is an integer number (10401300).

Almost surely, 2^945074880 is an apocalyptic number.

945074880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747418400).

945074880 is an abundant number, since it is smaller than the sum of its proper divisors (2549761920).

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

945074880 is a wasteful number, since it uses less digits than its factorization.

945074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 945074880 is about 30742.0701970443. The cubic root of 945074880 is about 981.3458116784.

The spelling of 945074880 in words is "nine hundred forty-five million, seventy-four thousand, eight hundred eighty".