478796032 has 216 divisors, whose sum is σ = 1198867320. Its totient is φ = 189235200.

The previous prime is 478796009. The next prime is 478796047. The reversal of 478796032 is 230697874.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 476286976 = 1584^2 + 21824^2 .

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, 11677932 + ... + 11677972.

Almost surely, 2^478796032 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 478796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599433660).

478796032 is an abundant number, since it is smaller than the sum of its proper divisors (720071288).

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

478796032 is a wasteful number, since it uses less digits than its factorization.

478796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 478796032 is about 21881.4083641799. The cubic root of 478796032 is about 782.3183446691.

The spelling of 478796032 in words is "four hundred seventy-eight million, seven hundred ninety-six thousand, thirty-two".