417215972 has 18 divisors (see below), whose sum is σ = 773388882. Its totient is φ = 196257664.

The previous prime is 417215917. The next prime is 417215977. The reversal of 417215972 is 279512714.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 111175936 + 306040036 = 10544^2 + 17494^2 .

It is not an unprimeable number, because it can be changed into a prime (417215977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167198 + ... + 169674.

It is an arithmetic number, because the mean of its divisors is an integer number (42966049).

Almost surely, 2^417215972 is an apocalyptic number.

It is an amenable number.

417215972 is a deficient number, since it is larger than the sum of its proper divisors (356172910).

417215972 is an equidigital number, since it uses as much as digits as its factorization.

417215972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 2496 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 417215972 is about 20425.8652693099. The cubic root of 417215972 is about 747.2288682339.

The spelling of 417215972 in words is "four hundred seventeen million, two hundred fifteen thousand, nine hundred seventy-two".