404688 has 20 divisors (see below), whose sum is σ = 1045568. Its totient is φ = 134880.

The previous prime is 404671. The next prime is 404693. The reversal of 404688 is 886404.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404688.

It is an unprimeable number.

404688 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, 4168 + ... + 4263.

2⁴⁰⁴⁶⁸⁸ is an apocalyptic number.

404688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404688 is an abundant number, since it is smaller than the sum of its proper divisors (640880).

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

404688 is a wasteful number, since it uses less digits than its factorization.

404688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 404688 is about 636.1509254886. The cubic root of 404688 is about 73.9673583820.

The spelling of 404688 in words is "four hundred four thousand, six hundred eighty-eight".