478491648 has 176 divisors, whose sum is σ = 1361828160. Its totient is φ = 149094400.

The previous prime is 478491647. The next prime is 478491653. The reversal of 478491648 is 846194874.

Its product of digits (1548288) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 478491648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478491647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3652543 + ... + 3652673.

It is an arithmetic number, because the mean of its divisors is an integer number (7737660).

Almost surely, 2^478491648 is an apocalyptic number.

478491648 is a gapful number since it is divisible by the number (48) 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 478491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680914080).

478491648 is an abundant number, since it is smaller than the sum of its proper divisors (883336512).

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

478491648 is a wasteful number, since it uses less digits than its factorization.

478491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 478491648 is about 21874.4519474203. The cubic root of 478491648 is about 782.1525289913.

The spelling of 478491648 in words is "four hundred seventy-eight million, four hundred ninety-one thousand, six hundred forty-eight".