5349200 has 60 divisors (see below), whose sum is σ = 13192608. Its totient is φ = 2083200.

The previous prime is 5349199. The next prime is 5349209. The reversal of 5349200 is 29435.

It is a super-2 number, since 2×5349200² = 57227881280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17045 + ... + 17355.

Almost surely, 2^5349200 is an apocalyptic number.

5349200 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 5349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596304).

5349200 is an abundant number, since it is smaller than the sum of its proper divisors (7843408).

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

5349200 is a wasteful number, since it uses less digits than its factorization.

5349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5349200 is about 2312.8337596983. The cubic root of 5349200 is about 174.8891815399.

The spelling of 5349200 in words is "five million, three hundred forty-nine thousand, two hundred".