45980 has 36 divisors (see below), whose sum is σ = 111720. Its totient is φ = 15840.

The previous prime is 45979. The next prime is 45989. The reversal of 45980 is 8954.

It is a super-2 number, since 2×45980² = 4228320800, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45980.

It is not an unprimeable number, because it can be changed into a prime (45989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2411 + ... + 2429.

2⁴⁵⁹⁸⁰ 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 45980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860).

45980 is an abundant number, since it is smaller than the sum of its proper divisors (65740).

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

45980 is a wasteful number, since it uses less digits than its factorization.

45980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 45980 is about 214.4294755858. The cubic root of 45980 is about 35.8252851344.

Subtracting from 45980 its sum of digits (26), we obtain a palindrome (45954).

It can be divided in two parts, 45 and 980, that multiplied together give a square (44100 = 210²).

The spelling of 45980 in words is "forty-five thousand, nine hundred eighty".