406828 has 24 divisors (see below), whose sum is σ = 771120. Its totient is φ = 187200.

The previous prime is 406817. The next prime is 406837. The reversal of 406828 is 828604.

It is a junction number, because it is equal to n+sod(n) for n = 406796 and 406805.

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, 3978 + ... + 4078.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁴⁰⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

406828 is a deficient number, since it is larger than the sum of its proper divisors (364292).

406828 is a wasteful number, since it uses less digits than its factorization.

406828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

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

The square root of 406828 is about 637.8306985400. The cubic root of 406828 is about 74.0975096341.

It can be divided in two parts, 4068 and 28, that added together give a 12-th power (4096 = 2¹²).

The spelling of 406828 in words is "four hundred six thousand, eight hundred twenty-eight".