45409 has 8 divisors (see below), whose sum is σ = 56000. Its totient is φ = 35856.

The previous prime is 45403. The next prime is 45413. The reversal of 45409 is 90454.

45409 = T₇₇ + T₇₈ + ... + T₈₉.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45409 - 2⁵ = 45377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45409.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45409.

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

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, 159 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

2⁴⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

45409 is a deficient number, since it is larger than the sum of its proper divisors (10591).

45409 is a wasteful number, since it uses less digits than its factorization.

45409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45409 is about 213.0938760265. The cubic root of 45409 is about 35.6763689019.

It can be divided in two parts, 45 and 409, that added together give a palindrome (454).

The spelling of 45409 in words is "forty-five thousand, four hundred nine".