470441504 has 48 divisors (see below), whose sum is σ = 1000890072. Its totient is φ = 216373248.

The previous prime is 470441483. The next prime is 470441533. The reversal of 470441504 is 405144074.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28601104 + 441840400 = 5348^2 + 21020^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128402 + ... + 132014.

Almost surely, 2^470441504 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 470441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500445036).

470441504 is an abundant number, since it is smaller than the sum of its proper divisors (530448568).

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

470441504 is a wasteful number, since it uses less digits than its factorization.

470441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 470441504 is about 21689.6635289716. The cubic root of 470441504 is about 777.7413863668.

Adding to 470441504 its reverse (405144074), we get a palindrome (875585578).

The spelling of 470441504 in words is "four hundred seventy million, four hundred forty-one thousand, five hundred four".