5750400 has 96 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 1530880.

The previous prime is 5750399. The next prime is 5750441. The reversal of 5750400 is 40575.

5750400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9301 + ... + 9899.

It is an arithmetic number, because the mean of its divisors is an integer number (197625).

Almost surely, 2^5750400 is an apocalyptic number.

5750400 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 5750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

5750400 is an abundant number, since it is smaller than the sum of its proper divisors (13221600).

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

5750400 is a wasteful number, since it uses less digits than its factorization.

5750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5750400 is about 2397.9991659715. Note that the first 3 decimals coincide. The cubic root of 5750400 is about 179.1565477129.

Adding to 5750400 its reverse (40575), we get a palindrome (5790975).

The spelling of 5750400 in words is "five million, seven hundred fifty thousand, four hundred".