477689472 has 192 divisors, whose sum is σ = 1497000960. Its totient is φ = 145336320.

The previous prime is 477689453. The next prime is 477689489. The reversal of 477689472 is 274986774.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2500897 + ... + 2501087.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^477689472 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 477689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

477689472 is an abundant number, since it is smaller than the sum of its proper divisors (1019311488).

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

477689472 is a wasteful number, since it uses less digits than its factorization.

477689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 477689472 is about 21856.1083452659. The cubic root of 477689472 is about 781.7151999139.

The spelling of 477689472 in words is "four hundred seventy-seven million, six hundred eighty-nine thousand, four hundred seventy-two".