406257 has 8 divisors (see below), whose sum is σ = 545280. Its totient is φ = 269040.

The previous prime is 406253. The next prime is 406267. The reversal of 406257 is 752604.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 406257 - 2² = 406253 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406257.

It is not an unprimeable number, because it can be changed into a prime (406253) 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, 219 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (68160).

2⁴⁰⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

406257 is a deficient number, since it is larger than the sum of its proper divisors (139023).

406257 is a wasteful number, since it uses less digits than its factorization.

406257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 406257 is about 637.3829304272. The cubic root of 406257 is about 74.0628270918.

The spelling of 406257 in words is "four hundred six thousand, two hundred fifty-seven".