413257 has 8 divisors (see below), whose sum is σ = 451584. Its totient is φ = 375888.

The previous prime is 413251. The next prime is 413263. The reversal of 413257 is 752314.

It is an interprime number because it is at equal distance from previous prime (413251) and next prime (413263).

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 413257 - 2⁷ = 413129 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413251) 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, 888 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

2⁴¹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

413257 is a deficient number, since it is larger than the sum of its proper divisors (38327).

413257 is a wasteful number, since it uses less digits than its factorization.

413257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its digits is 840, while the sum is 22.

The square root of 413257 is about 642.8506825072. The cubic root of 413257 is about 74.4857862168.

The spelling of 413257 in words is "four hundred thirteen thousand, two hundred fifty-seven".