5118400 has 84 divisors (see below), whose sum is σ = 14425168. Its totient is φ = 1751040.

The previous prime is 5118389. The next prime is 5118403. The reversal of 5118400 is 48115.

5118400 is a nontrivial binomial coefficient, being equal to C(3200, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10972 + ... + 11428.

Almost surely, 2^5118400 is an apocalyptic number.

5118400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5118400 is the 3199-th triangular number and also the 1600-th hexagonal number.

5118400 is the 1067-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212584).

5118400 is an abundant number, since it is smaller than the sum of its proper divisors (9306768).

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

5118400 is a wasteful number, since it uses less digits than its factorization.

5118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 5118400 is about 2262.3881187807. The cubic root of 5118400 is about 172.3368197096.

It can be divided in two parts, 511 and 8400, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 5118400 in words is "five million, one hundred eighteen thousand, four hundred".