471876224 has 64 divisors (see below), whose sum is σ = 962798400. Its totient is φ = 230307840.

The previous prime is 471876199. The next prime is 471876233. The reversal of 471876224 is 422678174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244867 + ... + 1245245.

It is an arithmetic number, because the mean of its divisors is an integer number (15043725).

Almost surely, 2^471876224 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 471876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481399200).

471876224 is an abundant number, since it is smaller than the sum of its proper divisors (490922176).

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

471876224 is a wasteful number, since it uses less digits than its factorization.

471876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 471876224 is about 21722.7121695243. The cubic root of 471876224 is about 778.5312179697.

The spelling of 471876224 in words is "four hundred seventy-one million, eight hundred seventy-six thousand, two hundred twenty-four".