5355200 has 42 divisors (see below), whose sum is σ = 13181076. Its totient is φ = 2141440.

The previous prime is 5355199. The next prime is 5355211. The reversal of 5355200 is 25535.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74 + ... + 3273.

Almost surely, 2^5355200 is an apocalyptic number.

5355200 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 5355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590538).

5355200 is an abundant number, since it is smaller than the sum of its proper divisors (7825876).

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

5355200 is a wasteful number, since it uses less digits than its factorization.

5355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 5355200 is about 2314.1305062593. The cubic root of 5355200 is about 174.9545460181.

It can be divided in two parts, 5355 and 200, that added together give a palindrome (5555).

The spelling of 5355200 in words is "five million, three hundred fifty-five thousand, two hundred".