45500 has 48 divisors (see below), whose sum is σ = 122304. Its totient is φ = 14400.

The previous prime is 45497. The next prime is 45503. The reversal of 45500 is 554.

It is an interprime number because it is at equal distance from previous prime (45497) and next prime (45503).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45503) 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, 3494 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2⁴⁵⁵⁰⁰ 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 45500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

45500 is an abundant number, since it is smaller than the sum of its proper divisors (76804).

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

45500 is a wasteful number, since it uses less digits than its factorization.

45500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 45500 is about 213.3072900770. The cubic root of 45500 is about 35.7001849096.

It can be divided in two parts, 45 and 500, that multiplied together give a square (22500 = 150²).

The spelling of 45500 in words is "forty-five thousand, five hundred".