477111312 has 120 divisors (see below), whose sum is σ = 1364477400. Its totient is φ = 155602944.

The previous prime is 477111293. The next prime is 477111329. The reversal of 477111312 is 213111774.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 472801536 = 2076^2 + 21744^2 .

It is a super-2 number, since 2×477111312² = 455270408076722688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773514 + ... + 1773782.

It is an arithmetic number, because the mean of its divisors is an integer number (11370645).

Almost surely, 2^477111312 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 477111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682238700).

477111312 is an abundant number, since it is smaller than the sum of its proper divisors (887366088).

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

477111312 is a wasteful number, since it uses less digits than its factorization.

477111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 477111312 is about 21842.8778323736. The cubic root of 477111312 is about 781.3996958418.

The spelling of 477111312 in words is "four hundred seventy-seven million, one hundred eleven thousand, three hundred twelve".