45480 has 32 divisors (see below), whose sum is σ = 136800. Its totient is φ = 12096.

The previous prime is 45439. The next prime is 45481. The reversal of 45480 is 8454.

45480 = T₉₆ + T₉₇ + ... + T₁₀₄.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45481) by changing a digit.

45480 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 7 ways as a sum of consecutive naturals, for example, 70 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2⁴⁵⁴⁸⁰ is an apocalyptic number.

45480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45480 is an abundant number, since it is smaller than the sum of its proper divisors (91320).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400).

45480 is a wasteful number, since it uses less digits than its factorization.

45480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45480 is about 213.2604042011. The cubic root of 45480 is about 35.6949533467.

It can be divided in two parts, 45 and 480, that added together give a palindrome (525).

The spelling of 45480 in words is "forty-five thousand, four hundred eighty".