472576 has 40 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 215040.

The previous prime is 472573. The next prime is 472597. The reversal of 472576 is 675274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472573) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6621 + ... + 6691.

2⁴⁷²⁵⁷⁶ 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 472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

472576 is an abundant number, since it is smaller than the sum of its proper divisors (558608).

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

472576 is an equidigital number, since it uses as much as digits as its factorization.

472576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its digits is 11760, while the sum is 31.

The square root of 472576 is about 687.4416338861. The cubic root of 472576 is about 77.8915872780.

The spelling of 472576 in words is "four hundred seventy-two thousand, five hundred seventy-six".