470413433016 has 192 divisors, whose sum is σ = 1321377520320. Its totient is φ = 151068948480.

The previous prime is 470413432967. The next prime is 470413433023. The reversal of 470413433016 is 610334314074.

470413433016 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 1 + 343 + 301 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 121207396 + ... + 121211276.

It is an arithmetic number, because the mean of its divisors is an integer number (6882174585).

Almost surely, 2^470413433016 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 470413433016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660688760160).

470413433016 is an abundant number, since it is smaller than the sum of its proper divisors (850964087304).

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

470413433016 is a wasteful number, since it uses less digits than its factorization.

470413433016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 470413433016 in words is "four hundred seventy billion, four hundred thirteen million, four hundred thirty-three thousand, sixteen".