456342 has 16 divisors (see below), whose sum is σ = 960960. Its totient is φ = 144072.

The previous prime is 456329. The next prime is 456349. The reversal of 456342 is 243654.

It is a d-powerful number, because it can be written as 4⁷ + 5 + 3⁴ + 6⁶ + 4⁹ + 2¹⁷ .

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 456342.

It is not an unprimeable number, because it can be changed into a prime (456349) 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, 1888 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2⁴⁵⁶³⁴² is an apocalyptic number.

456342 is an abundant number, since it is smaller than the sum of its proper divisors (504618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456342 is a wasteful number, since it uses less digits than its factorization.

456342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027.

The product of its digits is 2880, while the sum is 24.

The square root of 456342 is about 675.5309023279. The cubic root of 456342 is about 76.9892603226.

Adding to 456342 its reverse (243654), we get a palindrome (699996).

It can be divided in two parts, 45 and 6342, that multiplied together give a triangular number (285390 = T₇₅₅).

The spelling of 456342 in words is "four hundred fifty-six thousand, three hundred forty-two".