50304 has 32 divisors (see below), whose sum is σ = 134640. Its totient is φ = 16640.

The previous prime is 50291. The next prime is 50311. The reversal of 50304 is 40305.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 50304.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 319 + ... + 449.

2⁵⁰³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67320).

50304 is an abundant number, since it is smaller than the sum of its proper divisors (84336).

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

50304 is a wasteful number, since it uses less digits than its factorization.

50304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 50304 is about 224.2855323020. The cubic root of 50304 is about 36.9148272167.

Adding to 50304 its reverse (40305), we get a palindrome (90609).

Subtracting from 50304 its reverse (40305), we obtain a palindrome (9999).

The spelling of 50304 in words is "fifty thousand, three hundred four".