50460 has 36 divisors (see below), whose sum is σ = 146328. Its totient is φ = 12992.

The previous prime is 50459. The next prime is 50461. The reversal of 50460 is 6405.

It is an interprime number because it is at equal distance from previous prime (50459) and next prime (50461).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

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 50460.

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1726 + ... + 1754.

2⁵⁰⁴⁶⁰ 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 50460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73164).

50460 is an abundant number, since it is smaller than the sum of its proper divisors (95868).

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

50460 is a wasteful number, since it uses less digits than its factorization.

50460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 50460 is about 224.6330340800. The cubic root of 50460 is about 36.9529472497.

Multiplying 50460 by its sum of digits (15), we get a square (756900 = 870²).

50460 divided by its sum of digits (15) gives a square (3364 = 58²).

Adding to 50460 its reverse (6405), we get a palindrome (56865).

The spelling of 50460 in words is "fifty thousand, four hundred sixty".