5758400 has 84 divisors (see below), whose sum is σ = 14645640. Its totient is φ = 2227200.

The previous prime is 5758381. The next prime is 5758411. The reversal of 5758400 is 48575.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94370 + ... + 94430.

Almost surely, 2^5758400 is an apocalyptic number.

5758400 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 5758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322820).

5758400 is an abundant number, since it is smaller than the sum of its proper divisors (8887240).

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

5758400 is a wasteful number, since it uses less digits than its factorization.

5758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

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

The square root of 5758400 is about 2399.6666435153. Note that the first 4 decimals coincide. The cubic root of 5758400 is about 179.2395905299.

The spelling of 5758400 in words is "five million, seven hundred fifty-eight thousand, four hundred".