415743345 has 12 divisors (see below), whose sum is σ = 720621876. Its totient is φ = 221729760.

The previous prime is 415743319. The next prime is 415743353. The reversal of 415743345 is 543347514.

415743345 is a `hidden beast` number, since 41 + 574 + 3 + 3 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90554256 + 325189089 = 9516^2 + 18033^2 .

It is not a de Polignac number, because 415743345 - 2⁸ = 415743089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4619326 + ... + 4619415.

It is an arithmetic number, because the mean of its divisors is an integer number (60051823).

Almost surely, 2^415743345 is an apocalyptic number.

415743345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415743345 is a deficient number, since it is larger than the sum of its proper divisors (304878531).

415743345 is a wasteful number, since it uses less digits than its factorization.

415743345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238752 (or 9238749 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 415743345 is about 20389.7853102969. The cubic root of 415743345 is about 746.3486793238.

The spelling of 415743345 in words is "four hundred fifteen million, seven hundred forty-three thousand, three hundred forty-five".