417672580 has 24 divisors (see below), whose sum is σ = 944583192. Its totient is φ = 154217472.

The previous prime is 417672569. The next prime is 417672581. The reversal of 417672580 is 85276714.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 405055876 = 3552^2 + 20126^2 .

It is not an unprimeable number, because it can be changed into a prime (417672581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802957 + ... + 803476.

It is an arithmetic number, because the mean of its divisors is an integer number (39357633).

Almost surely, 2^417672580 is an apocalyptic number.

It is an amenable number.

417672580 is an abundant number, since it is smaller than the sum of its proper divisors (526910612).

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

417672580 is a wasteful number, since it uses less digits than its factorization.

417672580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606455 (or 1606453 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 417672580 is about 20437.0394137703. The cubic root of 417672580 is about 747.5013620255.

The spelling of 417672580 in words is "four hundred seventeen million, six hundred seventy-two thousand, five hundred eighty".