476409564 has 108 divisors (see below), whose sum is σ = 1324213800. Its totient is φ = 144216576.

The previous prime is 476409559. The next prime is 476409569. The reversal of 476409564 is 465904674.

476409564 is a `hidden beast` number, since 47 + 6 + 40 + 9 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (476409559) and next prime (476409569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476409569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 300927 + ... + 302505.

Almost surely, 2^476409564 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 476409564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662106900).

476409564 is an abundant number, since it is smaller than the sum of its proper divisors (847804236).

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

476409564 is a wasteful number, since it uses less digits than its factorization.

476409564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 476409564 is about 21826.8083786888. The cubic root of 476409564 is about 781.0164067152.

The spelling of 476409564 in words is "four hundred seventy-six million, four hundred nine thousand, five hundred sixty-four".