5808400 has 60 divisors (see below), whose sum is σ = 15041572. Its totient is φ = 2142720.

The previous prime is 5808379. The next prime is 5808403. The reversal of 5808400 is 48085.

5808400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1982464 + 3825936 = 1408^2 + 1956^2 .

It is a super-4 number, since 4×5808400⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5808403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4642 + ... + 5758.

Almost surely, 2^5808400 is an apocalyptic number.

5808400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520786).

5808400 is an abundant number, since it is smaller than the sum of its proper divisors (9233172).

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

5808400 is a wasteful number, since it uses less digits than its factorization.

5808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5808400 is about 2410.0622398602. The cubic root of 5808400 is about 179.7568734020.

The spelling of 5808400 in words is "five million, eight hundred eight thousand, four hundred".