42456 has 32 divisors (see below), whose sum is σ = 111600. Its totient is φ = 13440.

The previous prime is 42451. The next prime is 42457. The reversal of 42456 is 65424.

Added to its reverse (65424) it gives a triangular number (107880 = T₄₆₄).

42456 = T₉₉ + T₁₀₀ + ... + T₁₀₆.

It is a happy number.

42456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

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 42456.

It is not an unprimeable number, because it can be changed into a prime (42451) 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, 666 + ... + 726.

2⁴²⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

42456 is an abundant number, since it is smaller than the sum of its proper divisors (69144).

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

42456 is a wasteful number, since it uses less digits than its factorization.

42456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

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

The square root of 42456 is about 206.0485379710. The cubic root of 42456 is about 34.8856129620.

Adding to 42456 its reverse (65424), we get a triangular number (107880 = T₄₆₄).

The spelling of 42456 in words is "forty-two thousand, four hundred fifty-six".