50684800 has 96 divisors (see below), whose sum is σ = 128250720. Its totient is φ = 19783680.

The previous prime is 50684797. The next prime is 50684827. The reversal of 50684800 is 848605.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 150232 + ... + 150568.

It is an arithmetic number, because the mean of its divisors is an integer number (1335945).

Almost surely, 2^50684800 is an apocalyptic number.

50684800 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 50684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64125360).

50684800 is an abundant number, since it is smaller than the sum of its proper divisors (77565920).

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

50684800 is a wasteful number, since it uses less digits than its factorization.

50684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 50684800 is about 7119.3258107773. The cubic root of 50684800 is about 370.0774125825.

The spelling of 50684800 in words is "fifty million, six hundred eighty-four thousand, eight hundred".