45477 has 12 divisors (see below), whose sum is σ = 68224. Its totient is φ = 29160.

The previous prime is 45439. The next prime is 45481. The reversal of 45477 is 77454.

45477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45477 - 2⁶ = 45413 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 45477.

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 45477.

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 11 ways as a sum of consecutive naturals, for example, 198 + ... + 360.

2⁴⁵⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

45477 is a deficient number, since it is larger than the sum of its proper divisors (22747).

45477 is a wasteful number, since it uses less digits than its factorization.

45477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 45477 is about 213.2533704306. The cubic root of 45477 is about 35.6941684800.

It can be divided in two parts, 4547 and 7, that added together give a palindrome (4554).

The spelling of 45477 in words is "forty-five thousand, four hundred seventy-seven".