478164564 has 72 divisors (see below), whose sum is σ = 1288560000. Its totient is φ = 149071104.

The previous prime is 478164539. The next prime is 478164581. The reversal of 478164564 is 465461874.

478164564 is a `hidden beast` number, since 4 + 7 + 81 + 6 + 4 + 564 = 666.

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 23 ways as a sum of consecutive naturals, for example, 49612 + ... + 58460.

Almost surely, 2^478164564 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 478164564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644280000).

478164564 is an abundant number, since it is smaller than the sum of its proper divisors (810395436).

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

478164564 is a wasteful number, since it uses less digits than its factorization.

478164564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957 (or 8952 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 478164564 is about 21866.9742762916. The cubic root of 478164564 is about 781.9742689013.

The spelling of 478164564 in words is "four hundred seventy-eight million, one hundred sixty-four thousand, five hundred sixty-four".