5338400 has 36 divisors (see below), whose sum is σ = 13034322. Its totient is φ = 2135040.

The previous prime is 5338393. The next prime is 5338409. The reversal of 5338400 is 48335.

It can be written as a sum of positive squares in 3 ways, for example, as 2421136 + 2917264 = 1556^2 + 1708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2537 + ... + 4136.

Almost surely, 2^5338400 is an apocalyptic number.

5338400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5338400 is an abundant number, since it is smaller than the sum of its proper divisors (7695922).

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

5338400 is a wasteful number, since it uses less digits than its factorization.

5338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5338400 is about 2310.4977818643. The cubic root of 5338400 is about 174.7714021991.

The spelling of 5338400 in words is "five million, three hundred thirty-eight thousand, four hundred".