477132768 has 120 divisors (see below), whose sum is σ = 1603757232. Its totient is φ = 136318464.

The previous prime is 477132751. The next prime is 477132781. The reversal of 477132768 is 867231774.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4996 + ... + 31292.

Almost surely, 2^477132768 is an apocalyptic number.

477132768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801878616).

477132768 is an abundant number, since it is smaller than the sum of its proper divisors (1126624464).

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

477132768 is a wasteful number, since it uses less digits than its factorization.

477132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26326 (or 26309 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 477132768 is about 21843.3689709257. The cubic root of 477132768 is about 781.4114090138.

The spelling of 477132768 in words is "four hundred seventy-seven million, one hundred thirty-two thousand, seven hundred sixty-eight".