417208992 has 48 divisors (see below), whose sum is σ = 1152819360. Its totient is φ = 131749632.

The previous prime is 417208963. The next prime is 417208999. The reversal of 417208992 is 299802714.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (417208999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112543 + ... + 116190.

It is an arithmetic number, because the mean of its divisors is an integer number (24017070).

Almost surely, 2^417208992 is an apocalyptic number.

It is an amenable number.

417208992 is an abundant number, since it is smaller than the sum of its proper divisors (735610368).

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

417208992 is a wasteful number, since it uses less digits than its factorization.

417208992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228765 (or 228757 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 417208992 is about 20425.6944068005. The cubic root of 417208992 is about 747.2247011782.

The spelling of 417208992 in words is "four hundred seventeen million, two hundred eight thousand, nine hundred ninety-two".