417616992 has 96 divisors (see below), whose sum is σ = 1311780960. Its totient is φ = 128494080.

The previous prime is 417616987. The next prime is 417617047. The reversal of 417616992 is 299616714.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7359 + ... + 29822.

It is an arithmetic number, because the mean of its divisors is an integer number (13664385).

Almost surely, 2^417616992 is an apocalyptic number.

It is an amenable number.

417616992 is an abundant number, since it is smaller than the sum of its proper divisors (894163968).

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

417616992 is a wasteful number, since it uses less digits than its factorization.

417616992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37213 (or 37199 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 417616992 is about 20435.6793867980. The cubic root of 417616992 is about 747.4681989282.

The spelling of 417616992 in words is "four hundred seventeen million, six hundred sixteen thousand, nine hundred ninety-two".