45420 has 24 divisors (see below), whose sum is σ = 127344. Its totient is φ = 12096.

The previous prime is 45413. The next prime is 45427. The reversal of 45420 is 2454.

45420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45413) and next prime (45427).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 45420.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45420.

It is not an unprimeable number, because it can be changed into a prime (45427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (5306).

2⁴⁵⁴²⁰ is an apocalyptic number.

It is an amenable number.

45420 is an abundant number, since it is smaller than the sum of its proper divisors (81924).

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 (63672).

45420 is a wasteful number, since it uses less digits than its factorization.

45420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45420 is about 213.1196846845. The cubic root of 45420 is about 35.6792494496.

Adding to 45420 its reverse (2454), we get a palindrome (47874).

It can be divided in two parts, 454 and 20, that added together give a palindrome (474).

The spelling of 45420 in words is "forty-five thousand, four hundred twenty".