478413 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 278208.

The previous prime is 478411. The next prime is 478417. The reversal of 478413 is 314874.

It is not a de Polignac number, because 478413 - 2¹ = 478411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10156 + ... + 10202.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁷⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

478413 is a deficient number, since it is larger than the sum of its proper divisors (327987).

478413 is a wasteful number, since it uses less digits than its factorization.

478413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 478413 is about 691.6740561854. The cubic root of 478413 is about 78.2109673417.

The spelling of 478413 in words is "four hundred seventy-eight thousand, four hundred thirteen".