456385 has 8 divisors (see below), whose sum is σ = 553896. Its totient is φ = 360960.

The previous prime is 456377. The next prime is 456403. The reversal of 456385 is 583654.

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 400689 = 236^2 + 633^2 .

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

It is not a de Polignac number, because 456385 - 2³ = 456377 is a prime.

It is a d-powerful number, because it can be written as 4 + 5⁷ + 3⁹ + 6⁷ + 8³ + 5⁷ .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (69237).

It is the magic constant of a 97 × 97 magic square.

2⁴⁵⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

456385 is a deficient number, since it is larger than the sum of its proper divisors (97511).

456385 is an equidigital number, since it uses as much as digits as its factorization.

456385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043.

The product of its digits is 14400, while the sum is 31.

The square root of 456385 is about 675.5627283976. The cubic root of 456385 is about 76.9916784171.

It can be divided in two parts, 456 and 385, that added together give a square (841 = 29²).

The spelling of 456385 in words is "four hundred fifty-six thousand, three hundred eighty-five".