50400800 has 54 divisors (see below), whose sum is σ = 123533109. Its totient is φ = 20080000.

The previous prime is 50400799. The next prime is 50400821. The reversal of 50400800 is 800405.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 49392784 + 1008016 = 7028^2 + 1004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5020.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200675 + ... + 200925.

Almost surely, 2^50400800 is an apocalyptic number.

50400800 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 50400800

50400800 is an abundant number, since it is smaller than the sum of its proper divisors (73132309).

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

50400800 is an equidigital number, since it uses as much as digits as its factorization.

50400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 50400800 is about 7099.3520831129. The cubic root of 50400800 is about 369.3849044864.

The spelling of 50400800 in words is "fifty million, four hundred thousand, eight hundred".