5119400 has 96 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1708800.

The previous prime is 5119351. The next prime is 5119423. The reversal of 5119400 is 49115.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam 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, 28511 + ... + 28689.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 2^5119400 is an apocalyptic number.

5119400 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 5119400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5119400 is an abundant number, since it is smaller than the sum of its proper divisors (8942200).

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

5119400 is a wasteful number, since it uses less digits than its factorization.

5119400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 5119400 is about 2262.6091133910. The cubic root of 5119400 is about 172.3480423311.

5119400 divided by its sum of digits (20) gives a triangular number (255970 = T₇₁₅).

The spelling of 5119400 in words is "five million, one hundred nineteen thousand, four hundred".