476450258409216 has 576 divisors, whose sum is σ = 1739629842442240. Its totient is φ = 125255698513920.

The previous prime is 476450258409211. The next prime is 476450258409227. The reversal of 476450258409216 is 612904852054674.

476450258409216 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 5 + 0 + 2 + 5 + 8 + 409 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476450258409211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195664461 + ... + 198084531.

Almost surely, 2^{476450258409216} 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 476450258409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869814921221120).

476450258409216 is an abundant number, since it is smaller than the sum of its proper divisors (1263179584033024).

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

476450258409216 is a wasteful number, since it uses less digits than its factorization.

476450258409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420429 (or 2420409 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 476450258409216 in words is "four hundred seventy-six trillion, four hundred fifty billion, two hundred fifty-eight million, four hundred nine thousand, two hundred sixteen".