5318400 has 108 divisors (see below), whose sum is σ = 17615192. Its totient is φ = 1413120.

The previous prime is 5318363. The next prime is 5318431. The reversal of 5318400 is 48135.

5318400 = T₉₅ + T₉₆ + ... + T₃₁₉.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19062 + ... + 19338.

Almost surely, 2^5318400 is an apocalyptic number.

5318400 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 5318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807596).

5318400 is an abundant number, since it is smaller than the sum of its proper divisors (12296792).

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

5318400 is a wasteful number, since it uses less digits than its factorization.

5318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5318400 is about 2306.1656488639. The cubic root of 5318400 is about 174.5528721595.

The spelling of 5318400 in words is "five million, three hundred eighteen thousand, four hundred".