476303220 has 192 divisors, whose sum is σ = 1573017600. Its totient is φ = 119439360.

The previous prime is 476303203. The next prime is 476303227. The reversal of 476303220 is 22303674.

476303220 is a `hidden beast` number, since 4 + 7 + 630 + 3 + 2 + 20 = 666.

It is a super-3 number, since 3×476303220³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476303227) 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 63 ways as a sum of consecutive naturals, for example, 618996 + ... + 619764.

It is an arithmetic number, because the mean of its divisors is an integer number (8192800).

Almost surely, 2^476303220 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 476303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786508800).

476303220 is an abundant number, since it is smaller than the sum of its proper divisors (1096714380).

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

476303220 is a wasteful number, since it uses less digits than its factorization.

476303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 476303220 is about 21824.3721559178. The cubic root of 476303220 is about 780.9582896414.

Adding to 476303220 its reverse (22303674), we get a palindrome (498606894).

The spelling of 476303220 in words is "four hundred seventy-six million, three hundred three thousand, two hundred twenty".