477759672 has 96 divisors (see below), whose sum is σ = 1401079680. Its totient is φ = 146200320.

The previous prime is 477759671. The next prime is 477759673. The reversal of 477759672 is 276957774.

477759672 is a `hidden beast` number, since 47 + 7 + 7 + 596 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (477759671) and next prime (477759673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477759671) 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 23 ways as a sum of consecutive naturals, for example, 183097 + ... + 185687.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 2^477759672 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 477759672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700539840).

477759672 is an abundant number, since it is smaller than the sum of its proper divisors (923320008).

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

477759672 is a wasteful number, since it uses less digits than its factorization.

477759672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2806 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The square root of 477759672 is about 21857.7142446323. The cubic root of 477759672 is about 781.7534909812.

The spelling of 477759672 in words is "four hundred seventy-seven million, seven hundred fifty-nine thousand, six hundred seventy-two".