5458400 has 36 divisors (see below), whose sum is σ = 13327272. Its totient is φ = 2183040.

The previous prime is 5458399. The next prime is 5458421. The reversal of 5458400 is 48545.

5458400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5458400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2612 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (370202).

Almost surely, 2^5458400 is an apocalyptic number.

5458400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5458400 is an abundant number, since it is smaller than the sum of its proper divisors (7868872).

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

5458400 is a wasteful number, since it uses less digits than its factorization.

5458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 5458400 is about 2336.3218956300. The cubic root of 5458400 is about 176.0712521420.

The spelling of 5458400 in words is "five million, four hundred fifty-eight thousand, four hundred".