478208640 has 768 divisors, whose sum is σ = 2109784320. Its totient is φ = 90832896.

The previous prime is 478208611. The next prime is 478208641. The reversal of 478208640 is 46802874.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (478208641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20791669 + ... + 20791691.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^478208640 is an apocalyptic number.

478208640 is a gapful number since it is divisible by the number (40) 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 478208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

478208640 is an abundant number, since it is smaller than the sum of its proper divisors (1631575680).

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

478208640 is a wasteful number, since it uses less digits than its factorization.

478208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 478208640 is about 21867.9820742564. The cubic root of 478208640 is about 781.9982949664.

The spelling of 478208640 in words is "four hundred seventy-eight million, two hundred eight thousand, six hundred forty".