45000405 has 24 divisors (see below), whose sum is σ = 78289848. Its totient is φ = 23911296.

The previous prime is 45000353. The next prime is 45000407. The reversal of 45000405 is 50400054.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26286129 + 18714276 = 5127^2 + 4326^2 .

It is not a de Polignac number, because 45000405 - 2⁸ = 45000149 is a prime.

45000405 is a modest number, since divided by 405 gives 45 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11479 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (3262077).

Almost surely, 2^45000405 is an apocalyptic number.

45000405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45000405 is a deficient number, since it is larger than the sum of its proper divisors (33289443).

45000405 is a wasteful number, since it uses less digits than its factorization.

45000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45000405 is about 6708.2341193491. The cubic root of 45000405 is about 355.6903975138.

Adding to 45000405 its reverse (50400054), we get a palindrome (95400459).

The spelling of 45000405 in words is "forty-five million, four hundred five", and thus it is an aban number.