477271872 has 448 divisors, whose sum is σ = 1860986880. Its totient is φ = 116121600.

The previous prime is 477271871. The next prime is 477271909. The reversal of 477271872 is 278172774.

It is a tau number, because it is divible by the number of its divisors (448).

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 (477271871) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2261847 + ... + 2262057.

Almost surely, 2^477271872 is an apocalyptic number.

477271872 is a gapful number since it is divisible by the number (42) 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 477271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930493440).

477271872 is an abundant number, since it is smaller than the sum of its proper divisors (1383715008).

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

477271872 is a wasteful number, since it uses less digits than its factorization.

477271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 307328, while the sum is 45.

The square root of 477271872 is about 21846.5528630949. The cubic root of 477271872 is about 781.4873395851.

The spelling of 477271872 in words is "four hundred seventy-seven million, two hundred seventy-one thousand, eight hundred seventy-two".