5830854480 has 720 divisors, whose sum is σ = 23710482432. Its totient is φ = 1277337600.

The previous prime is 5830854479. The next prime is 5830854503. The reversal of 5830854480 is 844580385.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 45912177 + ... + 45912303.

Almost surely, 2^5830854480 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 5830854480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855241216).

5830854480 is an abundant number, since it is smaller than the sum of its proper divisors (17879627952).

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

5830854480 is a wasteful number, since it uses less digits than its factorization.

5830854480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5830854480 is about 76360.0319538959. The cubic root of 5830854480 is about 1799.8821404312.

The spelling of 5830854480 in words is "five billion, eight hundred thirty million, eight hundred fifty-four thousand, four hundred eighty".