477080064 has 80 divisors (see below), whose sum is σ = 1412231040. Its totient is φ = 159022080.

The previous prime is 477080057. The next prime is 477080069. The reversal of 477080064 is 460080774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477080069) 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, 3432 + ... + 31079.

It is an arithmetic number, because the mean of its divisors is an integer number (17652888).

Almost surely, 2^477080064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706115520).

477080064 is an abundant number, since it is smaller than the sum of its proper divisors (935150976).

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

477080064 is an equidigital number, since it uses as much as digits as its factorization.

477080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 477080064 is about 21842.1625302991. The cubic root of 477080064 is about 781.3826364330.

The spelling of 477080064 in words is "four hundred seventy-seven million, eighty thousand, sixty-four".