5189400 has 144 divisors (see below), whose sum is σ = 18469800. Its totient is φ = 1339200.

The previous prime is 5189399. The next prime is 5189441. The reversal of 5189400 is 49815.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167385 + ... + 167415.

Almost surely, 2^5189400 is an apocalyptic number.

5189400 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 5189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234900).

5189400 is an abundant number, since it is smaller than the sum of its proper divisors (13280400).

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

5189400 is a wasteful number, since it uses less digits than its factorization.

5189400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5189400 is about 2278.0254607884. The cubic root of 5189400 is about 173.1300213152.

The spelling of 5189400 in words is "five million, one hundred eighty-nine thousand, four hundred".