478609344 has 112 divisors (see below), whose sum is σ = 1416039840. Its totient is φ = 158515200.

The previous prime is 478609343. The next prime is 478609399. The reversal of 478609344 is 443906874.

478609344 is a `hidden beast` number, since 4 + 7 + 8 + 609 + 34 + 4 = 666.

It is a super-2 number, since 2×478609344² = 458133808328220672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 478609344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478609343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298144 + ... + 299744.

Almost surely, 2^478609344 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 478609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708019920).

478609344 is an abundant number, since it is smaller than the sum of its proper divisors (937430496).

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

478609344 is a wasteful number, since it uses less digits than its factorization.

478609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 478609344 is about 21877.1420436948. The cubic root of 478609344 is about 782.2166531877.

The spelling of 478609344 in words is "four hundred seventy-eight million, six hundred nine thousand, three hundred forty-four".