470629600992 has 432 divisors, whose sum is σ = 1477219161600. Its totient is φ = 141947965440.

The previous prime is 470629600957. The next prime is 470629600993. The reversal of 470629600992 is 299006926074.

470629600992 is a `hidden beast` number, since 4 + 7 + 0 + 6 + 29 + 600 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470629600993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461853859 + ... + 461854877.

It is an arithmetic number, because the mean of its divisors is an integer number (3419488800).

Almost surely, 2^470629600992 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 470629600992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738609580800).

470629600992 is an abundant number, since it is smaller than the sum of its proper divisors (1006589560608).

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

470629600992 is a wasteful number, since it uses less digits than its factorization.

470629600992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 470629600992 in words is "four hundred seventy billion, six hundred twenty-nine million, six hundred thousand, nine hundred ninety-two".