408628 has 24 divisors (see below), whose sum is σ = 804384. Its totient is φ = 180000.

The previous prime is 408623. The next prime is 408631. The reversal of 408628 is 826804.

It is a junction number, because it is equal to n+sod(n) for n = 408596 and 408605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503 + ... + 1753.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁴⁰⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

408628 is a deficient number, since it is larger than the sum of its proper divisors (395756).

408628 is a wasteful number, since it uses less digits than its factorization.

408628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 408628 is about 639.2401739565. The cubic root of 408628 is about 74.2066296995.

It can be divided in two parts, 4086 and 28, that added together give a palindrome (4114).

The spelling of 408628 in words is "four hundred eight thousand, six hundred twenty-eight".