478908 has 36 divisors (see below), whose sum is σ = 1238328. Its totient is φ = 156000.

The previous prime is 478901. The next prime is 478913. The reversal of 478908 is 809874.

478908 = T₃₇ + T₃₈ + ... + T₁₄₂.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478901) 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, 1783 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁴⁷⁸⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164).

478908 is an abundant number, since it is smaller than the sum of its proper divisors (759420).

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

478908 is a wasteful number, since it uses less digits than its factorization.

478908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 478908 is about 692.0317911773. The cubic root of 478908 is about 78.2379322474.

The spelling of 478908 in words is "four hundred seventy-eight thousand, nine hundred eight".