478401680 has 20 divisors (see below), whose sum is σ = 1112284092. Its totient is φ = 191360640.

The previous prime is 478401647. The next prime is 478401683. The reversal of 478401680 is 86104874.

It can be written as a sum of positive squares in 2 ways, for example, as 119071744 + 359329936 = 10912^2 + 18956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (478401683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2989931 + ... + 2990090.

Almost surely, 2^478401680 is an apocalyptic number.

478401680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478401680 is an abundant number, since it is smaller than the sum of its proper divisors (633882412).

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

478401680 is a wasteful number, since it uses less digits than its factorization.

478401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980034 (or 5980028 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 478401680 is about 21872.3953877942. The cubic root of 478401680 is about 782.1035047224.

The spelling of 478401680 in words is "four hundred seventy-eight million, four hundred one thousand, six hundred eighty".