945960288 has 288 divisors, whose sum is σ = 3217536000. Its totient is φ = 240952320.

The previous prime is 945960247. The next prime is 945960293. The reversal of 945960288 is 882069549.

It is a self number, because there is not a number n which added to its sum of digits gives 945960288.

It is a congruent number.

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, 1895463 + ... + 1895961.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2^945960288 is an apocalyptic number.

945960288 is a gapful number since it is divisible by the number (98) 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 945960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768000).

945960288 is an abundant number, since it is smaller than the sum of its proper divisors (2271575712).

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

945960288 is a wasteful number, since it uses less digits than its factorization.

945960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 945960288 is about 30756.4674174392. The cubic root of 945960288 is about 981.6521790175.

The spelling of 945960288 in words is "nine hundred forty-five million, nine hundred sixty thousand, two hundred eighty-eight".