45407 has 4 divisors (see below), whose sum is σ = 48096. Its totient is φ = 42720.

The previous prime is 45403. The next prime is 45413. The reversal of 45407 is 70454.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70454 = 2 ⋅35227.

It is a cyclic number.

It is not a de Polignac number, because 45407 - 2² = 45403 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 13.

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 45407.

It is not an unprimeable number, because it can be changed into a prime (45403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (12024).

2⁴⁵⁴⁰⁷ is an apocalyptic number.

45407 is a deficient number, since it is larger than the sum of its proper divisors (2689).

45407 is a wasteful number, since it uses less digits than its factorization.

45407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 45407 is about 213.0891832074. The cubic root of 45407 is about 35.6758451160.

The spelling of 45407 in words is "forty-five thousand, four hundred seven".