470875300224 has 256 divisors, whose sum is σ = 1514796940800. Its totient is φ = 126515773440.

The previous prime is 470875300213. The next prime is 470875300229. The reversal of 470875300224 is 422003578074.

It is a happy number.

It is a super-2 number, since 2×470875300224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470875300229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 65295979 + ... + 65303189.

It is an arithmetic number, because the mean of its divisors is an integer number (5917175550).

Almost surely, 2^470875300224 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 470875300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757398470400).

470875300224 is an abundant number, since it is smaller than the sum of its proper divisors (1043921640576).

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

470875300224 is a wasteful number, since it uses less digits than its factorization.

470875300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

Adding to 470875300224 its reverse (422003578074), we get a palindrome (892878878298).

The spelling of 470875300224 in words is "four hundred seventy billion, eight hundred seventy-five million, three hundred thousand, two hundred twenty-four".