320457 has 8 divisors (see below), whose sum is σ = 438976. Its totient is φ = 207792.

The previous prime is 320449. The next prime is 320471. The reversal of 320457 is 754023.

It is a happy number.

320457 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 320457 - 2³ = 320449 is a prime.

It is a Duffinian number.

320457 is strictly pandigital in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320457.

It is not an unprimeable number, because it can be changed into a prime (320417) 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, 1333 + ... + 1554.

It is an arithmetic number, because the mean of its divisors is an integer number (54872).

2³²⁰⁴⁵⁷ is an apocalyptic number.

320457 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

320457 is a deficient number, since it is larger than the sum of its proper divisors (118519).

320457 is a wasteful number, since it uses less digits than its factorization.

320457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 320457 is about 566.0892155836. The cubic root of 320457 is about 68.4315831710.

It can be divided in two parts, 320 and 457, that added together give a palindrome (777).

The spelling of 320457 in words is "three hundred twenty thousand, four hundred fifty-seven".