417988 has 12 divisors (see below), whose sum is σ = 740880. Its totient is φ = 206312.

The previous prime is 417983. The next prime is 417997. The reversal of 417988 is 889714.

Its product of digits (16128) is a multiple of the sum of its prime divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (417983) by changing a digit.

417988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

2⁴¹⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

417988 is a deficient number, since it is larger than the sum of its proper divisors (322892).

417988 is a wasteful number, since it uses less digits than its factorization.

417988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1344 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 417988 is about 646.5199146198. The cubic root of 417988 is about 74.7689481910.

The spelling of 417988 in words is "four hundred seventeen thousand, nine hundred eighty-eight".