45880 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 17280.

The previous prime is 45869. The next prime is 45887. The reversal of 45880 is 8854.

45880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45887) by changing a digit.

45880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222 + ... + 1258.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2⁴⁵⁸⁸⁰ is an apocalyptic number.

45880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45880 is the 124-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

45880 is an abundant number, since it is smaller than the sum of its proper divisors (63560).

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

45880 is a wasteful number, since it uses less digits than its factorization.

45880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 45880 is about 214.1961717678. The cubic root of 45880 is about 35.7992946398.

The spelling of 45880 in words is "forty-five thousand, eight hundred eighty".