813960405 has 18 divisors (see below), whose sum is σ = 1411196514. Its totient is φ = 434010144.

The previous prime is 813960383. The next prime is 813960451. The reversal of 813960405 is 504069318.

It can be written as a sum of positive squares in 3 ways, for example, as 15163236 + 798797169 = 3894^2 + 28263^2 .

It is not a de Polignac number, because 813960405 - 2¹² = 813956309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 813960405.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 189259 + ... + 193511.

Almost surely, 2^813960405 is an apocalyptic number.

It is an amenable number.

813960405 is a deficient number, since it is larger than the sum of its proper divisors (597236109).

813960405 is an frugal number, since it uses more digits than its factorization.

813960405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 813960405 is about 28529.9913249198. The cubic root of 813960405 is about 933.6865292363.

Multiplying 813960405 by its product of nonzero digits (25920), we get a square (21097853697600 = 4593240²).

The spelling of 813960405 in words is "eight hundred thirteen million, nine hundred sixty thousand, four hundred five".