456042 has 24 divisors (see below), whose sum is σ = 972576. Its totient is φ = 142528.

The previous prime is 456037. The next prime is 456047. The reversal of 456042 is 240654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456037) and next prime (456047).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456042.

It is not an unprimeable number, because it can be changed into a prime (456047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1603 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (40524).

2⁴⁵⁶⁰⁴² is an apocalyptic number.

456042 is an abundant number, since it is smaller than the sum of its proper divisors (516534).

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

456042 is a wasteful number, since it uses less digits than its factorization.

456042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 456042 is about 675.3088182454. The cubic root of 456042 is about 76.9723856677.

Adding to 456042 its reverse (240654), we get a palindrome (696696).

The spelling of 456042 in words is "four hundred fifty-six thousand, forty-two".