50456 has 32 divisors (see below), whose sum is σ = 116640. Its totient is φ = 19968.

The previous prime is 50441. The next prime is 50459. The reversal of 50456 is 65405.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50456.

It is not an unprimeable number, because it can be changed into a prime (50459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 926 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

2⁵⁰⁴⁵⁶ is an apocalyptic number.

50456 is a gapful number since it is divisible by the number (56) 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 50456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320).

50456 is an abundant number, since it is smaller than the sum of its proper divisors (66184).

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

50456 is a wasteful number, since it uses less digits than its factorization.

50456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 50456 is about 224.6241304936. The cubic root of 50456 is about 36.9519707951.

It can be divided in two parts, 504 and 56, that multiplied together give a square (28224 = 168²).

The spelling of 50456 in words is "fifty thousand, four hundred fifty-six".