45520 has 20 divisors (see below), whose sum is σ = 106020. Its totient is φ = 18176.
The previous prime is 45503. The next prime is 45523. The reversal of 45520 is 2554.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 33856 = 108^2 + 184^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 45494 and 45503.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45523) by changing a digit.
45520 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 3 ways as a sum of consecutive naturals, for example, 205 + ... + 364.
It is an arithmetic number, because the mean of its divisors is an integer number (5301).
245520 is an apocalyptic number.
45520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
45520 is an abundant number, since it is smaller than the sum of its proper divisors (60500).
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 (53010).
45520 is a wasteful number, since it uses less digits than its factorization.
45520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 582 (or 576 counting only the distinct ones).
The product of its (nonzero) digits is 200, while the sum is 16.
The square root of 45520 is about 213.3541656495. The cubic root of 45520 is about 35.7054149397.
It can be divided in two parts, 45 and 520, that added together give a palindrome (565).
The spelling of 45520 in words is "forty-five thousand, five hundred twenty".
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