5413600 has 72 divisors (see below), whose sum is σ = 13546008. Its totient is φ = 2112000.

The previous prime is 5413591. The next prime is 5413609. The reversal of 5413600 is 63145.

5413600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5413591) and next prime (5413609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413609) 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, 53550 + ... + 53650.

It is an arithmetic number, because the mean of its divisors is an integer number (188139).

Almost surely, 2^5413600 is an apocalyptic number.

5413600 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 5413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773004).

5413600 is an abundant number, since it is smaller than the sum of its proper divisors (8132408).

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

5413600 is a wasteful number, since it uses less digits than its factorization.

5413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5413600 is about 2326.7144216685. The cubic root of 5413600 is about 175.5882246762.

Adding to 5413600 its reverse (63145), we get a palindrome (5476745).

The spelling of 5413600 in words is "five million, four hundred thirteen thousand, six hundred".