5905428480 has 624 divisors, whose sum is σ = 24533683200. Its totient is φ = 1284636672.

The previous prime is 5905428469. The next prime is 5905428493. The reversal of 5905428480 is 848245095.

5905428480 is a `hidden beast` number, since 590 + 54 + 2 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×5905428480² = 69748171064790220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29675421 + ... + 29675619.

It is an arithmetic number, because the mean of its divisors is an integer number (39316800).

Almost surely, 2^5905428480 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 5905428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266841600).

5905428480 is an abundant number, since it is smaller than the sum of its proper divisors (18628254720).

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

5905428480 is a wasteful number, since it uses less digits than its factorization.

5905428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5905428480 is about 76846.7857493077. The cubic root of 5905428480 is about 1807.5228855650.

The spelling of 5905428480 in words is "five billion, nine hundred five million, four hundred twenty-eight thousand, four hundred eighty".