478434 has 24 divisors (see below), whose sum is σ = 1053360. Its totient is φ = 144760.

The previous prime is 478433. The next prime is 478441. The reversal of 478434 is 434874.

478434 = 82² + 83² + ... + 125².

It is a d-powerful number, because it can be written as 4⁴ + 7⁶ + 4⁸ + 8⁵ + 3⁴ + 4⁹ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478434.

It is not an unprimeable number, because it can be changed into a prime (478433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (43890).

2⁴⁷⁸⁴³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526680).

478434 is an abundant number, since it is smaller than the sum of its proper divisors (574926).

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

478434 is a wasteful number, since it uses less digits than its factorization.

478434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 675 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 478434 is about 691.6892365795. The cubic root of 478434 is about 78.2121116851.

The spelling of 478434 in words is "four hundred seventy-eight thousand, four hundred thirty-four".