5324400 has 240 divisors, whose sum is σ = 20757600. Its totient is φ = 1290240.

The previous prime is 5324399. The next prime is 5324419. The reversal of 5324400 is 44235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183586 + ... + 183614.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

Almost surely, 2^5324400 is an apocalyptic number.

5324400 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 5324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378800).

5324400 is an abundant number, since it is smaller than the sum of its proper divisors (15433200).

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

5324400 is a wasteful number, since it uses less digits than its factorization.

5324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5324400 is about 2307.4661427635. The cubic root of 5324400 is about 174.6184886126.

Adding to 5324400 its reverse (44235), we get a palindrome (5368635).

The spelling of 5324400 in words is "five million, three hundred twenty-four thousand, four hundred".