470471205600 has 1728 divisors, whose sum is σ = 2061115580160. Its totient is φ = 99488563200.

The previous prime is 470471205599. The next prime is 470471205613. The reversal of 470471205600 is 6502174074.

470471205600 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 71 + 20 + 560 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1355824627 + ... + 1355824973.

It is an arithmetic number, because the mean of its divisors is an integer number (1192775220).

Almost surely, 2^470471205600 is an apocalyptic number.

470471205600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470471205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030557790080).

470471205600 is an abundant number, since it is smaller than the sum of its proper divisors (1590644374560).

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

470471205600 is a wasteful number, since it uses less digits than its factorization.

470471205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 470471205600 its reverse (6502174074), we get a palindrome (476973379674).

The spelling of 470471205600 in words is "four hundred seventy billion, four hundred seventy-one million, two hundred five thousand, six hundred".