475480224 has 72 divisors (see below), whose sum is σ = 1355526900. Its totient is φ = 158097408.

The previous prime is 475480217. The next prime is 475480249. The reversal of 475480224 is 422084574.

It can be written as a sum of positive squares in 2 ways, for example, as 453690000 + 21790224 = 21300^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 127474 + ... + 131150.

Almost surely, 2^475480224 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 475480224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677763450).

475480224 is an abundant number, since it is smaller than the sum of its proper divisors (880046676).

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

475480224 is a wasteful number, since it uses less digits than its factorization.

475480224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 475480224 is about 21805.5090286836. The cubic root of 475480224 is about 780.5082289363.

The spelling of 475480224 in words is "four hundred seventy-five million, four hundred eighty thousand, two hundred twenty-four".