478953216 has 288 divisors, whose sum is σ = 1707148800. Its totient is φ = 129392640.

The previous prime is 478953203. The next prime is 478953227. The reversal of 478953216 is 612359874.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919036 + ... + 919556.

It is an arithmetic number, because the mean of its divisors is an integer number (5927600).

Almost surely, 2^478953216 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 478953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853574400).

478953216 is an abundant number, since it is smaller than the sum of its proper divisors (1228195584).

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

478953216 is a wasteful number, since it uses less digits than its factorization.

478953216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 478953216 is about 21884.9997943797. Note that the first 3 decimals coincide. The cubic root of 478953216 is about 782.4039444266.

The spelling of 478953216 in words is "four hundred seventy-eight million, nine hundred fifty-three thousand, two hundred sixteen".