5335200 has 288 divisors, whose sum is σ = 21873600. Its totient is φ = 1244160.

The previous prime is 5335189. The next prime is 5335271. The reversal of 5335200 is 25335.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280791 + ... + 280809.

It is an arithmetic number, because the mean of its divisors is an integer number (75950).

Almost surely, 2^5335200 is an apocalyptic number.

5335200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5335200 is the 1235-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

5335200 is an abundant number, since it is smaller than the sum of its proper divisors (16538400).

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

5335200 is a wasteful number, since it uses less digits than its factorization.

5335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5335200 is about 2309.8051865904. The cubic root of 5335200 is about 174.7364741138.

It can be divided in two parts, 53 and 35200, that added together give a palindrome (35253).

The spelling of 5335200 in words is "five million, three hundred thirty-five thousand, two hundred".