476055448416 has 288 divisors, whose sum is σ = 1423403549568. Its totient is φ = 150785556480.

The previous prime is 476055448403. The next prime is 476055448417. The reversal of 476055448416 is 614844550674.

476055448416 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 5 + 544 + 84 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476055448417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69585156 + ... + 69591996.

It is an arithmetic number, because the mean of its divisors is an integer number (4942373436).

Almost surely, 2^476055448416 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 476055448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711701774784).

476055448416 is an abundant number, since it is smaller than the sum of its proper divisors (947348101152).

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

476055448416 is a wasteful number, since it uses less digits than its factorization.

476055448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 476055448416 in words is "four hundred seventy-six billion, fifty-five million, four hundred forty-eight thousand, four hundred sixteen".