456789 has 8 divisors (see below), whose sum is σ = 623392. Its totient is φ = 297360.

The previous prime is 456769. The next prime is 456791. The reversal of 456789 is 987654.

456789 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 456789 - 2¹³ = 448597 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 5⁷ + 7³ + 6⁷ + 8⁵ + 9² .

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

It is a Duffinian number.

It is a Curzon number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456769) by changing a digit.

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, 1642 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (77924).

2⁴⁵⁶⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

456789 is a deficient number, since it is larger than the sum of its proper divisors (166603).

456789 is a wasteful number, since it uses less digits than its factorization.

456789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587.

The product of its digits is 60480, while the sum is 39.

The square root of 456789 is about 675.8616722377. The cubic root of 456789 is about 77.0143898445.

It can be divided in two parts, 4567 and 89, that added together give a triangular number (4656 = T₉₆).

The spelling of 456789 in words is "four hundred fifty-six thousand, seven hundred eighty-nine".