5846400 has 288 divisors, whose sum is σ = 24663600. Its totient is φ = 1290240.

The previous prime is 5846389. The next prime is 5846411. The reversal of 5846400 is 46485.

It is an interprime number because it is at equal distance from previous prime (5846389) and next prime (5846411).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201586 + ... + 201614.

Almost surely, 2^5846400 is an apocalyptic number.

5846400 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 5846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331800).

5846400 is an abundant number, since it is smaller than the sum of its proper divisors (18817200).

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

5846400 is a wasteful number, since it uses less digits than its factorization.

5846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5846400 is about 2417.9330015532. The cubic root of 5846400 is about 180.1480263825.

The spelling of 5846400 in words is "five million, eight hundred forty-six thousand, four hundred".