5840400 has 120 divisors (see below), whose sum is σ = 19435264. Its totient is φ = 1497600.

The previous prime is 5840399. The next prime is 5840411. The reversal of 5840400 is 40485.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5840400² = 68220544320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37122 + ... + 37278.

Almost surely, 2^5840400 is an apocalyptic number.

5840400 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 5840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717632).

5840400 is an abundant number, since it is smaller than the sum of its proper divisors (13594864).

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

5840400 is a wasteful number, since it uses less digits than its factorization.

5840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5840400 is about 2416.6919538907. The cubic root of 5840400 is about 180.0863782953.

Adding to 5840400 its reverse (40485), we get a palindrome (5880885).

The spelling of 5840400 in words is "five million, eight hundred forty thousand, four hundred".