404928 has 84 divisors (see below), whose sum is σ = 1254760. Its totient is φ = 124416.

The previous prime is 404851. The next prime is 404941. The reversal of 404928 is 829404.

It is a congruent number.

It is an unprimeable number.

404928 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 11 ways as a sum of consecutive naturals, for example, 10926 + ... + 10962.

2⁴⁰⁴⁹²⁸ is an apocalyptic number.

404928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627380).

404928 is an abundant number, since it is smaller than the sum of its proper divisors (849832).

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

404928 is a wasteful number, since it uses less digits than its factorization.

404928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 404928 is about 636.3395320110. The cubic root of 404928 is about 73.9819775931.

The spelling of 404928 in words is "four hundred four thousand, nine hundred twenty-eight".