45024 has 48 divisors (see below), whose sum is σ = 137088. Its totient is φ = 12672.

The previous prime is 45013. The next prime is 45053. The reversal of 45024 is 42054.

45024 is nontrivially palindromic in base 9.

45024 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×45024³ = 273812633321472, which contains 333 as substring.

It is an Ulam number.

45024 is an undulating number in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 44994 and 45012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (2856).

2⁴⁵⁰²⁴ 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 45024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

45024 is an abundant number, since it is smaller than the sum of its proper divisors (92064).

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

45024 is a wasteful number, since it uses less digits than its factorization.

45024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45024 is about 212.1885953580. The cubic root of 45024 is about 35.5752552870.

Adding to 45024 its reverse (42054), we get a palindrome (87078).

It can be divided in two parts, 450 and 24, that added together give a palindrome (474).

The spelling of 45024 in words is "forty-five thousand, twenty-four".