46506 has 16 divisors (see below), whose sum is σ = 97344. Its totient is φ = 14784.

The previous prime is 46499. The next prime is 46507. The reversal of 46506 is 60564.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46507) by changing a digit.

46506 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 7 ways as a sum of consecutive naturals, for example, 31 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

2⁴⁶⁵⁰⁶ is an apocalyptic number.

46506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

46506 is an abundant number, since it is smaller than the sum of its proper divisors (50838).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672).

46506 is a wasteful number, since it uses less digits than its factorization.

46506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 46506 is about 215.6524982466. The cubic root of 46506 is about 35.9613783337.

It can be divided in two parts, 4650 and 6, that added together give a triangular number (4656 = T₉₆).

The spelling of 46506 in words is "forty-six thousand, five hundred six".