477684220 has 48 divisors (see below), whose sum is σ = 1083307680. Its totient is φ = 175885056.

The previous prime is 477684199. The next prime is 477684223. The reversal of 477684220 is 22486774.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477684223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98779 + ... + 103501.

It is an arithmetic number, because the mean of its divisors is an integer number (22568910).

Almost surely, 2^477684220 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 477684220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541653840).

477684220 is an abundant number, since it is smaller than the sum of its proper divisors (605623460).

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

477684220 is a wasteful number, since it uses less digits than its factorization.

477684220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 477684220 is about 21855.9881954580. The cubic root of 477684220 is about 781.7123350240.

The spelling of 477684220 in words is "four hundred seventy-seven million, six hundred eighty-four thousand, two hundred twenty".