478677144 has 64 divisors (see below), whose sum is σ = 1315543680. Its totient is φ = 143936000.

The previous prime is 478677139. The next prime is 478677167. The reversal of 478677144 is 441776874.

It is a junction number, because it is equal to n+sod(n) for n = 478677093 and 478677102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27664 + ... + 41504.

It is an arithmetic number, because the mean of its divisors is an integer number (20555370).

Almost surely, 2^478677144 is an apocalyptic number.

478677144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478677144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657771840).

478677144 is an abundant number, since it is smaller than the sum of its proper divisors (836866536).

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

478677144 is a wasteful number, since it uses less digits than its factorization.

478677144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992 (or 13988 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 478677144 is about 21878.6915513703. The cubic root of 478677144 is about 782.2535878232.

The spelling of 478677144 in words is "four hundred seventy-eight million, six hundred seventy-seven thousand, one hundred forty-four".