50464 has 24 divisors (see below), whose sum is σ = 105840. Its totient is φ = 23616.

The previous prime is 50461. The next prime is 50497. The reversal of 50464 is 46405.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 14.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (50461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 567 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁵⁰⁴⁶⁴ 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 50464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

50464 is an abundant number, since it is smaller than the sum of its proper divisors (55376).

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

50464 is a wasteful number, since it uses less digits than its factorization.

50464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 50464 is about 224.6419373136. The cubic root of 50464 is about 36.9539236527.

Adding to 50464 its reverse (46405), we get a palindrome (96869).

It can be divided in two parts, 5046 and 4, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 50464 in words is "fifty thousand, four hundred sixty-four".