476414784 has 140 divisors (see below), whose sum is σ = 1461401700. Its totient is φ = 153280512.

The previous prime is 476414767. The next prime is 476414803. The reversal of 476414784 is 487414674.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 326597184 + 149817600 = 18072^2 + 12240^2 .

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 19 ways as a sum of consecutive naturals, for example, 148752 + ... + 151920.

Almost surely, 2^476414784 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 476414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730700850).

476414784 is an abundant number, since it is smaller than the sum of its proper divisors (984986916).

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

476414784 is a wasteful number, since it uses less digits than its factorization.

476414784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3203 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 476414784 is about 21826.9279560821. The cubic root of 476414784 is about 781.0192592264.

It can be divided in two parts, 47641 and 4784, that added together give a palindrome (52425).

The spelling of 476414784 in words is "four hundred seventy-six million, four hundred fourteen thousand, seven hundred eighty-four".