5180400 has 90 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 1380480.

The previous prime is 5180353. The next prime is 5180419. The reversal of 5180400 is 40815.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2881 + ... + 4319.

It is an arithmetic number, because the mean of its divisors is an integer number (199888).

Almost surely, 2^5180400 is an apocalyptic number.

5180400 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 5180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

5180400 is an abundant number, since it is smaller than the sum of its proper divisors (12809520).

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

5180400 is a wasteful number, since it uses less digits than its factorization.

5180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5180400 is about 2276.0492086069. The cubic root of 5180400 is about 173.0298766715.

The spelling of 5180400 in words is "five million, one hundred eighty thousand, four hundred".