5875400 has 48 divisors (see below), whose sum is σ = 14145300. Its totient is φ = 2266880.

The previous prime is 5875369. The next prime is 5875403. The reversal of 5875400 is 45785.

It can be written as a sum of positive squares in 6 ways, for example, as 465124 + 5410276 = 682^2 + 2326^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5875403) 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, 5294 + ... + 6306.

Almost surely, 2^5875400 is an apocalyptic number.

5875400 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 5875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072650).

5875400 is an abundant number, since it is smaller than the sum of its proper divisors (8269900).

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

5875400 is a wasteful number, since it uses less digits than its factorization.

5875400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 5875400 is about 2423.9224410034. The cubic root of 5875400 is about 180.4453990358.

The spelling of 5875400 in words is "five million, eight hundred seventy-five thousand, four hundred".