5041800 has 72 divisors (see below), whose sum is σ = 16938090. Its totient is φ = 1344000.

The previous prime is 5041759. The next prime is 5041801. The reversal of 5041800 is 81405.

It can be written as a sum of positive squares in 3 ways, for example, as 3755844 + 1285956 = 1938^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 400 + ... + 3200.

Almost surely, 2^5041800 is an apocalyptic number.

5041800 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 5041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469045).

5041800 is an abundant number, since it is smaller than the sum of its proper divisors (11896290).

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

5041800 is a wasteful number, since it uses less digits than its factorization.

5041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2811 counting only the distinct ones).

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

The square root of 5041800 is about 2245.3952881397. The cubic root of 5041800 is about 171.4727862142.

It can be divided in two parts, 504 and 1800, that added together give a square (2304 = 48²).

The spelling of 5041800 in words is "five million, forty-one thousand, eight hundred".