476071776 has 96 divisors (see below), whose sum is σ = 1396090080. Its totient is φ = 157828608.

The previous prime is 476071753. The next prime is 476071777. The reversal of 476071776 is 677170674.

476071776 is a `hidden beast` number, since 476 + 0 + 7 + 177 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476071777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168810 + ... + 171606.

It is an arithmetic number, because the mean of its divisors is an integer number (14542605).

Almost surely, 2^476071776 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 476071776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698045040).

476071776 is an abundant number, since it is smaller than the sum of its proper divisors (920018304).

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

476071776 is a wasteful number, since it uses less digits than its factorization.

476071776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 476071776 is about 21819.0690910497. The cubic root of 476071776 is about 780.8317754190.

The spelling of 476071776 in words is "four hundred seventy-six million, seventy-one thousand, seven hundred seventy-six".