478842624 has 216 divisors, whose sum is σ = 1546122480. Its totient is φ = 145317888.

The previous prime is 478842601. The next prime is 478842671. The reversal of 478842624 is 426248874.

It is a tau number, because it is divible by the number of its divisors (216).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 478842624.

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, 6559452 + ... + 6559524.

Almost surely, 2^478842624 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 478842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773061240).

478842624 is an abundant number, since it is smaller than the sum of its proper divisors (1067279856).

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

478842624 is an equidigital number, since it uses as much as digits as its factorization.

478842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 91 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 478842624 is about 21882.4729863880. The cubic root of 478842624 is about 782.3437198405.

The spelling of 478842624 in words is "four hundred seventy-eight million, eight hundred forty-two thousand, six hundred twenty-four".