5945399460 has 768 divisors, whose sum is σ = 26336378880. Its totient is φ = 1071636480.

The previous prime is 5945399431. The next prime is 5945399489. The reversal of 5945399460 is 649935495.

5945399460 is a `hidden beast` number, since 5 + 94 + 5 + 3 + 99 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (5945399431) and next prime (5945399489).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5945399397 and 5945399406.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9188857 + ... + 9189503.

It is an arithmetic number, because the mean of its divisors is an integer number (34292160).

Almost surely, 2^5945399460 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 5945399460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168189440).

5945399460 is an abundant number, since it is smaller than the sum of its proper divisors (20390979420).

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

5945399460 is a wasteful number, since it uses less digits than its factorization.

5945399460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 5945399460 is about 77106.4164645200. The cubic root of 5945399460 is about 1811.5918009491.

The spelling of 5945399460 in words is "five billion, nine hundred forty-five million, three hundred ninety-nine thousand, four hundred sixty".