478005906 has 32 divisors (see below), whose sum is σ = 1096962048. Its totient is φ = 136026000.

The previous prime is 478005901. The next prime is 478005911. The reversal of 478005906 is 609500874.

It is an interprime number because it is at equal distance from previous prime (478005901) and next prime (478005911).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (478005901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12130 + ... + 33213.

It is an arithmetic number, because the mean of its divisors is an integer number (34280064).

Almost surely, 2^478005906 is an apocalyptic number.

478005906 is an abundant number, since it is smaller than the sum of its proper divisors (618956142).

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

478005906 is a wasteful number, since it uses less digits than its factorization.

478005906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45606.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 478005906 is about 21863.3461757344. The cubic root of 478005906 is about 781.8877713455.

The spelling of 478005906 in words is "four hundred seventy-eight million, five thousand, nine hundred six".