417488 has 20 divisors (see below), whose sum is σ = 820260. Its totient is φ = 205824.

The previous prime is 417479. The next prime is 417491. The reversal of 417488 is 884714.

417488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 322624 = 308^2 + 568^2 .

It is a congruent number.

It is an unprimeable number.

417488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1418 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁴¹⁷⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

417488 is a deficient number, since it is larger than the sum of its proper divisors (402772).

417488 is a wasteful number, since it uses less digits than its factorization.

417488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 417488 is about 646.1331132205. The cubic root of 417488 is about 74.7391232594.

The spelling of 417488 in words is "four hundred seventeen thousand, four hundred eighty-eight".