415117164 has 48 divisors (see below), whose sum is σ = 1207616256. Its totient is φ = 107822400.

The previous prime is 415117151. The next prime is 415117181. The reversal of 415117164 is 461711514.

It is an unprimeable number.

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, 223707 + ... + 225554.

It is an arithmetic number, because the mean of its divisors is an integer number (25158672).

Almost surely, 2^415117164 is an apocalyptic number.

415117164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

415117164 is an abundant number, since it is smaller than the sum of its proper divisors (792499092).

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

415117164 is a wasteful number, since it uses less digits than its factorization.

415117164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449286 (or 449284 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 415117164 is about 20374.4242618043. The cubic root of 415117164 is about 745.9737812040.

Adding to 415117164 its reverse (461711514), we get a palindrome (876828678).

The spelling of 415117164 in words is "four hundred fifteen million, one hundred seventeen thousand, one hundred sixty-four".