476287776 has 168 divisors, whose sum is σ = 1489833324. Its totient is φ = 149299200.

The previous prime is 476287771. The next prime is 476287783. The reversal of 476287776 is 677782674.

476287776 is a `hidden beast` number, since 4 + 7 + 628 + 7 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 452668176 + 23619600 = 21276^2 + 4860^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (476287771) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 395976 + ... + 397176.

Almost surely, 2^476287776 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 476287776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744916662).

476287776 is an abundant number, since it is smaller than the sum of its proper divisors (1013545548).

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

476287776 is a wasteful number, since it uses less digits than its factorization.

476287776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1223 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 476287776 is about 21824.0183284381. The cubic root of 476287776 is about 780.9498487647.

The spelling of 476287776 in words is "four hundred seventy-six million, two hundred eighty-seven thousand, seven hundred seventy-six".