417968830 has 32 divisors (see below), whose sum is σ = 760687200. Its totient is φ = 165343872.

The previous prime is 417968819. The next prime is 417968839. The reversal of 417968830 is 38869714.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417968839) 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, 540324 + ... + 541096.

It is an arithmetic number, because the mean of its divisors is an integer number (23771475).

Almost surely, 2^417968830 is an apocalyptic number.

417968830 is a deficient number, since it is larger than the sum of its proper divisors (342718370).

417968830 is a wasteful number, since it uses less digits than its factorization.

417968830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 417968830 is about 20444.2859987822. The cubic root of 417968830 is about 747.6780514174.

The spelling of 417968830 in words is "four hundred seventeen million, nine hundred sixty-eight thousand, eight hundred thirty".