478301680 has 40 divisors (see below), whose sum is σ = 1133043552. Its totient is φ = 187709184.

The previous prime is 478301639. The next prime is 478301683. The reversal of 478301680 is 86103874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478301683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52164 + ... + 60643.

Almost surely, 2^478301680 is an apocalyptic number.

478301680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478301680 is an abundant number, since it is smaller than the sum of its proper divisors (654741872).

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

478301680 is a wasteful number, since it uses less digits than its factorization.

478301680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112873 (or 112867 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 478301680 is about 21870.1092818486. The cubic root of 478301680 is about 782.0490067251.

The spelling of 478301680 in words is "four hundred seventy-eight million, three hundred one thousand, six hundred eighty".