404628 has 24 divisors (see below), whose sum is σ = 1079232. Its totient is φ = 115584.

The previous prime is 404597. The next prime is 404671. The reversal of 404628 is 826404.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 404598 and 404607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (44968).

2⁴⁰⁴⁶²⁸ is an apocalyptic number.

It is an amenable number.

404628 is an abundant number, since it is smaller than the sum of its proper divisors (674604).

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

404628 is a wasteful number, since it uses less digits than its factorization.

404628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 404628 is about 636.1037651201. The cubic root of 404628 is about 73.9637026761.

It can be divided in two parts, 40462 and 8, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 404628 in words is "four hundred four thousand, six hundred twenty-eight".