477148672 has 320 divisors, whose sum is σ = 1374912000. Its totient is φ = 162570240.

The previous prime is 477148643. The next prime is 477148681. The reversal of 477148672 is 276841774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25113079 + ... + 25113097.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^477148672 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 477148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

477148672 is an abundant number, since it is smaller than the sum of its proper divisors (897763328).

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

477148672 is a wasteful number, since it uses less digits than its factorization.

477148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 526848, while the sum is 46.

The square root of 477148672 is about 21843.7330142995. The cubic root of 477148672 is about 781.4200910340.

The spelling of 477148672 in words is "four hundred seventy-seven million, one hundred forty-eight thousand, six hundred seventy-two".