477682128 has 240 divisors, whose sum is σ = 1694224896. Its totient is φ = 122031360.

The previous prime is 477682123. The next prime is 477682129. The reversal of 477682128 is 821286774.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477682123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742575 + ... + 743217.

Almost surely, 2^477682128 is an apocalyptic number.

477682128 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 477682128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847112448).

477682128 is an abundant number, since it is smaller than the sum of its proper divisors (1216542768).

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

477682128 is a wasteful number, since it uses less digits than its factorization.

477682128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 477682128 is about 21855.9403366682. The cubic root of 477682128 is about 781.7111938624.

The spelling of 477682128 in words is "four hundred seventy-seven million, six hundred eighty-two thousand, one hundred twenty-eight".