5417200 has 60 divisors (see below), whose sum is σ = 13492440. Its totient is φ = 2087680.

The previous prime is 5417189. The next prime is 5417201. The reversal of 5417200 is 27145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417201) 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, 11367 + ... + 11833.

It is an arithmetic number, because the mean of its divisors is an integer number (224874).

Almost surely, 2^5417200 is an apocalyptic number.

5417200 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 5417200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746220).

5417200 is an abundant number, since it is smaller than the sum of its proper divisors (8075240).

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

5417200 is a wasteful number, since it uses less digits than its factorization.

5417200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 5417200 is about 2327.4879161878. The cubic root of 5417200 is about 175.6271376327.

The spelling of 5417200 in words is "five million, four hundred seventeen thousand, two hundred".