46500 has 48 divisors (see below), whose sum is σ = 139776. Its totient is φ = 12000.

The previous prime is 46499. The next prime is 46507. The reversal of 46500 is 564.

46500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 46500.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2⁴⁶⁵⁰⁰ 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 46500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

46500 is an abundant number, since it is smaller than the sum of its proper divisors (93276).

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

46500 is a wasteful number, since it uses less digits than its factorization.

46500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

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

The square root of 46500 is about 215.6385865285. The cubic root of 46500 is about 35.9598317407.

The spelling of 46500 in words is "forty-six thousand, five hundred".