477641934 has 180 divisors, whose sum is σ = 1367647512. Its totient is φ = 121960080.

The previous prime is 477641933. The next prime is 477641987. The reversal of 477641934 is 439146774.

It is a self number, because there is not a number n which added to its sum of digits gives 477641934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477641933) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8095597 + ... + 8095655.

Almost surely, 2^477641934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477641934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683823756).

477641934 is an abundant number, since it is smaller than the sum of its proper divisors (890005578).

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

477641934 is a wasteful number, since it uses less digits than its factorization.

477641934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 82 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 477641934 is about 21855.0207961466. The cubic root of 477641934 is about 781.6892678582.

It can be divided in two parts, 477 and 641934, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 477641934 in words is "four hundred seventy-seven million, six hundred forty-one thousand, nine hundred thirty-four".