45920 has 48 divisors (see below), whose sum is σ = 127008. Its totient is φ = 15360.

The previous prime is 45893. The next prime is 45943. The reversal of 45920 is 2954.

45920 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45892 and 45901.

It is a congruent number.

It is an unprimeable number.

45920 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, 1100 + ... + 1140.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

2⁴⁵⁹²⁰ is an apocalyptic number.

45920 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 45920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

45920 is an abundant number, since it is smaller than the sum of its proper divisors (81088).

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

45920 is a wasteful number, since it uses less digits than its factorization.

45920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 45920 is about 214.2895237757. The cubic root of 45920 is about 35.8096953652.

It can be divided in two parts, 459 and 20, that multiplied together give a triangular number (9180 = T₁₃₅).

The spelling of 45920 in words is "forty-five thousand, nine hundred twenty".