478905336 has 192 divisors, whose sum is σ = 1680806400. Its totient is φ = 119625984.

The previous prime is 478905313. The next prime is 478905341. The reversal of 478905336 is 633509874.

It is a junction number, because it is equal to n+sod(n) for n = 478905291 and 478905300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122565 + ... + 126411.

It is an arithmetic number, because the mean of its divisors is an integer number (8754200).

Almost surely, 2^478905336 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 478905336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840403200).

478905336 is an abundant number, since it is smaller than the sum of its proper divisors (1201901064).

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

478905336 is a wasteful number, since it uses less digits than its factorization.

478905336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 478905336 is about 21883.9058670979. The cubic root of 478905336 is about 782.3778717693.

The spelling of 478905336 in words is "four hundred seventy-eight million, nine hundred five thousand, three hundred thirty-six".