5809440 has 288 divisors, whose sum is σ = 24131520. Its totient is φ = 1161216.

The previous prime is 5809439. The next prime is 5809451. The reversal of 5809440 is 449085.

It is a super-2 number, since 2×5809440² = 67499186227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5809398 and 5809407.

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, 305751 + ... + 305769.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 2^5809440 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 5809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

5809440 is an abundant number, since it is smaller than the sum of its proper divisors (18322080).

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

5809440 is a wasteful number, since it uses less digits than its factorization.

5809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5809440 is about 2410.2779922656. The cubic root of 5809440 is about 179.7676013129.

The spelling of 5809440 in words is "five million, eight hundred nine thousand, four hundred forty".