5190400 has 54 divisors (see below), whose sum is σ = 12862892. Its totient is φ = 2073600.

The previous prime is 5190377. The next prime is 5190403. The reversal of 5190400 is 40915.

It is not an unprimeable number, because it can be changed into a prime (5190403) 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, 5995 + ... + 6805.

Almost surely, 2^5190400 is an apocalyptic number.

5190400 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 5190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431446).

5190400 is an abundant number, since it is smaller than the sum of its proper divisors (7672492).

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

5190400 is an equidigital number, since it uses as much as digits as its factorization.

5190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5190400 is about 2278.2449385437. The cubic root of 5190400 is about 173.1411413484.

The spelling of 5190400 in words is "five million, one hundred ninety thousand, four hundred".