477991080 has 288 divisors, whose sum is σ = 1835308800. Its totient is φ = 107872128.

The previous prime is 477991069. The next prime is 477991121. The reversal of 477991080 is 80199774.

477991080 is a `hidden beast` number, since 477 + 99 + 10 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6050481 + ... + 6050559.

It is an arithmetic number, because the mean of its divisors is an integer number (6372600).

Almost surely, 2^477991080 is an apocalyptic number.

477991080 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 477991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917654400).

477991080 is an abundant number, since it is smaller than the sum of its proper divisors (1357317720).

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

477991080 is an equidigital number, since it uses as much as digits as its factorization.

477991080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 477991080 is about 21863.0071124720. The cubic root of 477991080 is about 781.8796874929.

It can be divided in two parts, 4779 and 91080, that added together give a palindrome (95859).

The spelling of 477991080 in words is "four hundred seventy-seven million, nine hundred ninety-one thousand, eighty".