477438080 has 256 divisors, whose sum is σ = 1410048000. Its totient is φ = 150958080.

The previous prime is 477438077. The next prime is 477438083. The reversal of 477438080 is 80834774.

It is an interprime number because it is at equal distance from previous prime (477438077) and next prime (477438083).

It is not an unprimeable number, because it can be changed into a prime (477438083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6043481 + ... + 6043559.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^477438080 is an apocalyptic number.

477438080 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 477438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705024000).

477438080 is an abundant number, since it is smaller than the sum of its proper divisors (932609920).

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

477438080 is a wasteful number, since it uses less digits than its factorization.

477438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 477438080 is about 21850.3565188305. The cubic root of 477438080 is about 781.5780456589.

The spelling of 477438080 in words is "four hundred seventy-seven million, four hundred thirty-eight thousand, eighty".