315405405 has 72 divisors (see below), whose sum is σ = 639388152. Its totient is φ = 143410176.

The previous prime is 315405361. The next prime is 315405407. The reversal of 315405405 is 504504513.

It can be written as a sum of positive squares in 4 ways, for example, as 9400356 + 306005049 = 3066^2 + 17493^2 .

It is not a de Polignac number, because 315405405 - 2¹⁰ = 315404381 is a prime.

315405405 is a modest number, since divided by 405405 gives 315 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315405407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689937 + ... + 690393.

It is an arithmetic number, because the mean of its divisors is an integer number (8880391).

Almost surely, 2^315405405 is an apocalyptic number.

315405405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315405405 is an abundant number, since it is smaller than the sum of its proper divisors (323982747).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315405405 is a wasteful number, since it uses less digits than its factorization.

315405405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 315405405 is about 17759.6566689787. The cubic root of 315405405 is about 680.7009820134.

Adding to 315405405 its reverse (504504513), we get a palindrome (819909918).

The spelling of 315405405 in words is "three hundred fifteen million, four hundred five thousand, four hundred five".