406825 has 6 divisors (see below), whose sum is σ = 504494. Its totient is φ = 325440.

The previous prime is 406817. The next prime is 406837. The reversal of 406825 is 528604.

It can be written as a sum of positive squares in 3 ways, for example, as 110889 + 295936 = 333^2 + 544^2 .

It is not a de Polignac number, because 406825 - 2³ = 406817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 16273 = 406825 / (4 + 0 + 6 + 8 + 2 + 5).

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8112 + ... + 8161.

2⁴⁰⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

406825 is a deficient number, since it is larger than the sum of its proper divisors (97669).

406825 is a wasteful number, since it uses less digits than its factorization.

406825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16283 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 406825 is about 637.8283468144. The cubic root of 406825 is about 74.0973274989.

The spelling of 406825 in words is "four hundred six thousand, eight hundred twenty-five".