420257 has 8 divisors (see below), whose sum is σ = 453600. Its totient is φ = 387904.

The previous prime is 420253. The next prime is 420263. The reversal of 420257 is 752024.

420257 is nontrivially palindromic in base 8.

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

It is a cyclic number.

It is not a de Polignac number, because 420257 - 2² = 420253 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420257.

It is not an unprimeable number, because it can be changed into a prime (420253) 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, 794 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁴²⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

420257 is a deficient number, since it is larger than the sum of its proper divisors (33343).

420257 is a wasteful number, since it uses less digits than its factorization.

420257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 420257 is about 648.2723193227. The cubic root of 420257 is about 74.9039956799.

The spelling of 420257 in words is "four hundred twenty thousand, two hundred fifty-seven".