5280200 has 48 divisors (see below), whose sum is σ = 13006980. Its totient is φ = 1986560.

The previous prime is 5280173. The next prime is 5280229. The reversal of 5280200 is 20825.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1493284 + 3786916 = 1222^2 + 1946^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2624 + ... + 4176.

Almost surely, 2^5280200 is an apocalyptic number.

5280200 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 5280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503490).

5280200 is an abundant number, since it is smaller than the sum of its proper divisors (7726780).

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

5280200 is a wasteful number, since it uses less digits than its factorization.

5280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5280200 is about 2297.8685776171. The cubic root of 5280200 is about 174.1339524290.

The spelling of 5280200 in words is "five million, two hundred eighty thousand, two hundred".