50400 has 108 divisors (see below), whose sum is σ = 203112. Its totient is φ = 11520.

The previous prime is 50387. The next prime is 50411. The reversal of 50400 is 405.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

50400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7197 + ... + 7203.

50400 is a highly composite number, because it has more divisors than any smaller number.

2⁵⁰⁴⁰⁰ is an apocalyptic number.

50400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 224×225.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

50400 is an abundant number, since it is smaller than the sum of its proper divisors (152712).

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

50400 is a wasteful number, since it uses less digits than its factorization.

50400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 50400 is about 224.4994432064. The cubic root of 50400 is about 36.9382950090.

Adding to 50400 its reverse (405), we get a palindrome (50805).

The spelling of 50400 in words is "fifty thousand, four hundred".