417053130 has 96 divisors (see below), whose sum is σ = 1109630016. Its totient is φ = 100219392.

The previous prime is 417053111. The next prime is 417053167. The reversal of 417053130 is 31350714.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 417053130.

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 47 ways as a sum of consecutive naturals, for example, 217054 + ... + 218966.

It is an arithmetic number, because the mean of its divisors is an integer number (11558646).

Almost surely, 2^417053130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417053130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554815008).

417053130 is an abundant number, since it is smaller than the sum of its proper divisors (692576886).

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

417053130 is a wasteful number, since it uses less digits than its factorization.

417053130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 417053130 is about 20421.8787088750. The cubic root of 417053130 is about 747.1316395515.

The spelling of 417053130 in words is "four hundred seventeen million, fifty-three thousand, one hundred thirty".