415059093 has 32 divisors (see below), whose sum is σ = 643527680. Its totient is φ = 264072960.

The previous prime is 415059079. The next prime is 415059101. The reversal of 415059093 is 390950514.

It is not a de Polignac number, because 415059093 - 2⁴ = 415059077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415059053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57705 + ... + 64497.

It is an arithmetic number, because the mean of its divisors is an integer number (20110240).

Almost surely, 2^415059093 is an apocalyptic number.

It is an amenable number.

415059093 is a deficient number, since it is larger than the sum of its proper divisors (228468587).

415059093 is a wasteful number, since it uses less digits than its factorization.

415059093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 415059093 is about 20372.9991164777. Note that the first 3 decimals coincide. The cubic root of 415059093 is about 745.9389946687.

Adding to 415059093 its sum of digits (36), we get a square (415059129 = 20373²).

The spelling of 415059093 in words is "four hundred fifteen million, fifty-nine thousand, ninety-three".