478306 has 16 divisors (see below), whose sum is σ = 776160. Its totient is φ = 220320.

The previous prime is 478273. The next prime is 478321. The reversal of 478306 is 603874.

478306 = T₁₀₀ + T₁₀₁ + ... + T₁₅₆.

It is an unprimeable number.

478306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1405 + ... + 1711.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁴⁷⁸³⁰⁶ is an apocalyptic number.

478306 is a deficient number, since it is larger than the sum of its proper divisors (297854).

478306 is a wasteful number, since it uses less digits than its factorization.

478306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 478306 is about 691.5967032888. The cubic root of 478306 is about 78.2051361196.

It can be divided in two parts, 478 and 306, that added together give a square (784 = 28²).

The spelling of 478306 in words is "four hundred seventy-eight thousand, three hundred six".