50558400 has 126 divisors (see below), whose sum is σ = 179747672. Its totient is φ = 13478400.

The previous prime is 50558383. The next prime is 50558419. The reversal of 50558400 is 485505.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12645 + ... + 16155.

Almost surely, 2^50558400 is an apocalyptic number.

50558400 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 50558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89873836).

50558400 is an abundant number, since it is smaller than the sum of its proper divisors (129189272).

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

50558400 is a wasteful number, since it uses less digits than its factorization.

50558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 50558400 is about 7110.4430241723. The cubic root of 50558400 is about 369.7695180104.

The spelling of 50558400 in words is "fifty million, five hundred fifty-eight thousand, four hundred".