417165252 has 48 divisors (see below), whose sum is σ = 1113598080. Its totient is φ = 119066112.

The previous prime is 417165251. The next prime is 417165253. The reversal of 417165252 is 252561714.

It is an interprime number because it is at equal distance from previous prime (417165251) and next prime (417165253).

It is not an unprimeable number, because it can be changed into a prime (417165251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105324 + ... + 109212.

It is an arithmetic number, because the mean of its divisors is an integer number (23199960).

Almost surely, 2^417165252 is an apocalyptic number.

417165252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

417165252 is an abundant number, since it is smaller than the sum of its proper divisors (696432828).

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

417165252 is a wasteful number, since it uses less digits than its factorization.

417165252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5178 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 417165252 is about 20424.6236685037. The cubic root of 417165252 is about 747.1985873669.

The spelling of 417165252 in words is "four hundred seventeen million, one hundred sixty-five thousand, two hundred fifty-two".