5724400 has 60 divisors (see below), whose sum is σ = 15014664. Its totient is φ = 2080000.

The previous prime is 5724373. The next prime is 5724403. The reversal of 5724400 is 44275.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5724403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3750 + ... + 5050.

Almost surely, 2^5724400 is an apocalyptic number.

5724400 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 5724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507332).

5724400 is an abundant number, since it is smaller than the sum of its proper divisors (9290264).

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

5724400 is a wasteful number, since it uses less digits than its factorization.

5724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 5724400 is about 2392.5718380019. The cubic root of 5724400 is about 178.8861254640.

Adding to 5724400 its reverse (44275), we get a palindrome (5768675).

The spelling of 5724400 in words is "five million, seven hundred twenty-four thousand, four hundred".