5146800 has 60 divisors (see below), whose sum is σ = 16490760. Its totient is φ = 1372160.

The previous prime is 5146793. The next prime is 5146819. The reversal of 5146800 is 86415.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 945 + ... + 3344.

It is an arithmetic number, because the mean of its divisors is an integer number (274846).

Almost surely, 2^5146800 is an apocalyptic number.

5146800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5146800 is an abundant number, since it is smaller than the sum of its proper divisors (11343960).

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

5146800 is a wasteful number, since it uses less digits than its factorization.

5146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5146800 is about 2268.6559897878. The cubic root of 5146800 is about 172.6549751993.

The spelling of 5146800 in words is "five million, one hundred forty-six thousand, eight hundred".