5830485408 has 384 divisors, whose sum is σ = 19236268800. Its totient is φ = 1703116800.

The previous prime is 5830485377. The next prime is 5830485413. The reversal of 5830485408 is 8045840385.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51597160 + ... + 51597272.

It is an arithmetic number, because the mean of its divisors is an integer number (50094450).

Almost surely, 2^5830485408 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 5830485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618134400).

5830485408 is an abundant number, since it is smaller than the sum of its proper divisors (13405783392).

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

5830485408 is a wasteful number, since it uses less digits than its factorization.

5830485408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

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

The square root of 5830485408 is about 76357.6152587285. The cubic root of 5830485408 is about 1799.8441642866.

The spelling of 5830485408 in words is "five billion, eight hundred thirty million, four hundred eighty-five thousand, four hundred eight".