477801216 has 108 divisors (see below), whose sum is σ = 1425322080. Its totient is φ = 153753600.

The previous prime is 477801199. The next prime is 477801221. The reversal of 477801216 is 612108774.

It is a super-2 number, since 2×477801216² = 456588004022157312, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 63241 + ... + 70391.

Almost surely, 2^477801216 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 477801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712661040).

477801216 is an abundant number, since it is smaller than the sum of its proper divisors (947520864).

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

477801216 is a wasteful number, since it uses less digits than its factorization.

477801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 477801216 is about 21858.6645520718. The cubic root of 477801216 is about 781.7761496717.

The spelling of 477801216 in words is "four hundred seventy-seven million, eight hundred one thousand, two hundred sixteen".