478286144 has 56 divisors (see below), whose sum is σ = 1088014080. Its totient is φ = 204350976.

The previous prime is 478286141. The next prime is 478286153. The reversal of 478286144 is 441682874.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 478286095 and 478286104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478286141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162962 + ... + 165870.

Almost surely, 2^478286144 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 478286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544007040).

478286144 is an abundant number, since it is smaller than the sum of its proper divisors (609727936).

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

478286144 is a wasteful number, since it uses less digits than its factorization.

478286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3285 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 478286144 is about 21869.7540909815. The cubic root of 478286144 is about 782.0405392345.

The spelling of 478286144 in words is "four hundred seventy-eight million, two hundred eighty-six thousand, one hundred forty-four".