404515345 has 32 divisors (see below), whose sum is σ = 551124000. Its totient is φ = 282906624.

The previous prime is 404515343. The next prime is 404515351. The reversal of 404515345 is 543515404.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 154654096 + 249861249 = 12436^2 + 15807^2 .

It is not a de Polignac number, because 404515345 - 2¹ = 404515343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404515343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97881 + ... + 101929.

It is an arithmetic number, because the mean of its divisors is an integer number (17222625).

Almost surely, 2^404515345 is an apocalyptic number.

It is an amenable number.

404515345 is a deficient number, since it is larger than the sum of its proper divisors (146608655).

404515345 is a wasteful number, since it uses less digits than its factorization.

404515345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149.

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 404515345 is about 20112.5668426484. The cubic root of 404515345 is about 739.5683780740.

It can be divided in two parts, 40451 and 5345, that added together give a square (45796 = 214²).

The spelling of 404515345 in words is "four hundred four million, five hundred fifteen thousand, three hundred forty-five".