405904947 has 8 divisors (see below), whose sum is σ = 618521856. Its totient is φ = 231945672.

The previous prime is 405904931. The next prime is 405904949. The reversal of 405904947 is 749409504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 405904947 - 2⁴ = 405904931 is a prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 405904899 and 405904908.

It is not an unprimeable number, because it can be changed into a prime (405904949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9664383 + ... + 9664424.

It is an arithmetic number, because the mean of its divisors is an integer number (77315232).

Almost surely, 2^405904947 is an apocalyptic number.

405904947 is a deficient number, since it is larger than the sum of its proper divisors (212616909).

405904947 is a wasteful number, since it uses less digits than its factorization.

405904947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19328817.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 405904947 is about 20147.0828409475. The cubic root of 405904947 is about 740.4142719319.

The spelling of 405904947 in words is "four hundred five million, nine hundred four thousand, nine hundred forty-seven".