45000 has 60 divisors (see below), whose sum is σ = 152295. Its totient is φ = 12000.

The previous prime is 44987. The next prime is 45007. The reversal of 45000 is 54.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 34596 = 102^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=150.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 6 and base 15.

It is not an unprimeable number, because it can be changed into a prime (45007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8998 + ... + 9002.

2⁴⁵⁰⁰⁰ is an apocalyptic number.

45000 is a gapful number since it is divisible by the number (40) 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 45000

45000 is an abundant number, since it is smaller than the sum of its proper divisors (107295).

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

45000 is a wasteful number, since it uses less digits than its factorization.

45000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 45000 is about 212.1320343560. The cubic root of 45000 is about 35.5689330449.

Adding to 45000 its reverse (54), we get a palindrome (45054).

The spelling of 45000 in words is "forty-five thousand".