478482816 has 256 divisors, whose sum is σ = 1585128960. Its totient is φ = 124747776.

The previous prime is 478482727. The next prime is 478482817. The reversal of 478482816 is 618284874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478482817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690611 + ... + 1690893.

It is an arithmetic number, because the mean of its divisors is an integer number (6191910).

Almost surely, 2^478482816 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 478482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792564480).

478482816 is an abundant number, since it is smaller than the sum of its proper divisors (1106646144).

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

478482816 is a wasteful number, since it uses less digits than its factorization.

478482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 478482816 is about 21874.2500671452. The cubic root of 478482816 is about 782.1477166372.

The spelling of 478482816 in words is "four hundred seventy-eight million, four hundred eighty-two thousand, eight hundred sixteen".