477521968 has 80 divisors (see below), whose sum is σ = 1157854464. Its totient is φ = 185345280.

The previous prime is 477521921. The next prime is 477522011. The reversal of 477521968 is 869125774.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 426946 + ... + 428062.

Almost surely, 2^477521968 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 477521968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578927232).

477521968 is an abundant number, since it is smaller than the sum of its proper divisors (680332496).

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

477521968 is a wasteful number, since it uses less digits than its factorization.

477521968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 477521968 is about 21852.2760370631. The cubic root of 477521968 is about 781.6238185609.

The spelling of 477521968 in words is "four hundred seventy-seven million, five hundred twenty-one thousand, nine hundred sixty-eight".