5834400 has 288 divisors, whose sum is σ = 23623488. Its totient is φ = 1228800.

The previous prime is 5834377. The next prime is 5834401. The reversal of 5834400 is 44385.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5834401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343192 + ... + 343208.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

Almost surely, 2^5834400 is an apocalyptic number.

5834400 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 5834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

5834400 is an abundant number, since it is smaller than the sum of its proper divisors (17789088).

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

5834400 is a wasteful number, since it uses less digits than its factorization.

5834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5834400 is about 2415.4502685835. The cubic root of 5834400 is about 180.0246879718.

Adding to 5834400 its reverse (44385), we get a palindrome (5878785).

The spelling of 5834400 in words is "five million, eight hundred thirty-four thousand, four hundred".