5338900 has 72 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 1760640.

The previous prime is 5338877. The next prime is 5338919. The reversal of 5338900 is 98335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20169 + ... + 20431.

It is an arithmetic number, because the mean of its divisors is an integer number (190960).

Almost surely, 2^5338900 is an apocalyptic number.

5338900 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 5338900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

5338900 is an abundant number, since it is smaller than the sum of its proper divisors (8410220).

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

5338900 is a wasteful number, since it uses less digits than its factorization.

5338900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 5338900 is about 2310.6059811227. The cubic root of 5338900 is about 174.7768584515.

The spelling of 5338900 in words is "five million, three hundred thirty-eight thousand, nine hundred".