5058400 has 36 divisors (see below), whose sum is σ = 12350772. Its totient is φ = 2023040.

The previous prime is 5058397. The next prime is 5058409. The reversal of 5058400 is 48505.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5058409) 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 5 ways as a sum of consecutive naturals, for example, 2362 + ... + 3961.

It is an arithmetic number, because the mean of its divisors is an integer number (343077).

Almost surely, 2^5058400 is an apocalyptic number.

5058400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5058400 is an abundant number, since it is smaller than the sum of its proper divisors (7292372).

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

5058400 is a wasteful number, since it uses less digits than its factorization.

5058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5058400 is about 2249.0887043423. The cubic root of 5058400 is about 171.6607700030.

The spelling of 5058400 in words is "five million, fifty-eight thousand, four hundred".