478576640 has 128 divisors (see below), whose sum is σ = 1207941120. Its totient is φ = 181665792.

The previous prime is 478576633. The next prime is 478576649. The reversal of 478576640 is 46675874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (478576649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3768257 + ... + 3768383.

It is an arithmetic number, because the mean of its divisors is an integer number (9437040).

Almost surely, 2^478576640 is an apocalyptic number.

478576640 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 478576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603970560).

478576640 is an abundant number, since it is smaller than the sum of its proper divisors (729364480).

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

478576640 is an equidigital number, since it uses as much as digits as its factorization.

478576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The square root of 478576640 is about 21876.3945841174. The cubic root of 478576640 is about 782.1988361542.

The spelling of 478576640 in words is "four hundred seventy-eight million, five hundred seventy-six thousand, six hundred forty".