5830450560 has 384 divisors, whose sum is σ = 23259843360. Its totient is φ = 1330053120.

The previous prime is 5830450541. The next prime is 5830450589. The reversal of 5830450560 is 650540385.

5830450560 is a `hidden beast` number, since 58 + 3 + 0 + 45 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1074414 + ... + 1079826.

Almost surely, 2^5830450560 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 5830450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629921680).

5830450560 is an abundant number, since it is smaller than the sum of its proper divisors (17429392800).

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

5830450560 is a wasteful number, since it uses less digits than its factorization.

5830450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5830450560 is about 76357.3870689667. The cubic root of 5830450560 is about 1799.8405784734.

The spelling of 5830450560 in words is "five billion, eight hundred thirty million, four hundred fifty thousand, five hundred sixty".