45240 has 64 divisors (see below), whose sum is σ = 151200. Its totient is φ = 10752.

The previous prime is 45233. The next prime is 45247. The reversal of 45240 is 4254.

It is an interprime number because it is at equal distance from previous prime (45233) and next prime (45247).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45247) by changing a digit.

45240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 1574.

2⁴⁵²⁴⁰ is an apocalyptic number.

45240 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 45240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

45240 is an abundant number, since it is smaller than the sum of its proper divisors (105960).

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

45240 is a wasteful number, since it uses less digits than its factorization.

45240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

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

The square root of 45240 is about 212.6969675383. The cubic root of 45240 is about 35.6320546202.

Adding to 45240 its reverse (4254), we get a palindrome (49494).

The spelling of 45240 in words is "forty-five thousand, two hundred forty".