5158400 has 120 divisors (see below), whose sum is σ = 14207424. Its totient is φ = 1843200.

The previous prime is 5158393. The next prime is 5158411. The reversal of 5158400 is 48515.

It is an Ulam number.

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, 166385 + ... + 166415.

Almost surely, 2^5158400 is an apocalyptic number.

5158400 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 5158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103712).

5158400 is an abundant number, since it is smaller than the sum of its proper divisors (9049024).

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

5158400 is a wasteful number, since it uses less digits than its factorization.

5158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 5158400 is about 2271.2111306525. The cubic root of 5158400 is about 172.7845893893.

The spelling of 5158400 in words is "five million, one hundred fifty-eight thousand, four hundred".