5174800 has 60 divisors (see below), whose sum is σ = 13181076. Its totient is φ = 1945600.

The previous prime is 5174791. The next prime is 5174803. The reversal of 5174800 is 84715.

It can be written as a sum of positive squares in 6 ways, for example, as 646416 + 4528384 = 804^2 + 2128^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5174803) 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 11 ways as a sum of consecutive naturals, for example, 6420 + ... + 7180.

Almost surely, 2^5174800 is an apocalyptic number.

5174800 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 5174800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590538).

5174800 is an abundant number, since it is smaller than the sum of its proper divisors (8006276).

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

5174800 is a wasteful number, since it uses less digits than its factorization.

5174800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 5174800 is about 2274.8186740925. The cubic root of 5174800 is about 172.9675058977.

The spelling of 5174800 in words is "five million, one hundred seventy-four thousand, eight hundred".