417480470 has 64 divisors (see below), whose sum is σ = 844706880. Its totient is φ = 147264000.

The previous prime is 417480457. The next prime is 417480487. The reversal of 417480470 is 74084714.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 417480470.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588476 + ... + 589184.

It is an arithmetic number, because the mean of its divisors is an integer number (13198545).

Almost surely, 2^417480470 is an apocalyptic number.

417480470 is an abundant number, since it is smaller than the sum of its proper divisors (427226410).

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

417480470 is a wasteful number, since it uses less digits than its factorization.

417480470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 417480470 is about 20432.3388284357. The cubic root of 417480470 is about 747.3867391399.

The spelling of 417480470 in words is "four hundred seventeen million, four hundred eighty thousand, four hundred seventy".