42006456 has 48 divisors (see below), whose sum is σ = 120463200. Its totient is φ = 13178112.

The previous prime is 42006443. The next prime is 42006469. The reversal of 42006456 is 65460024.

It is a happy number.

42006456 is a `hidden beast` number, since 4 + 200 + 6 + 456 = 666.

42006456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42006443) and next prime (42006469).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15936 + ... + 18383.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^42006456 is an apocalyptic number.

It is an amenable number.

42006456 is an abundant number, since it is smaller than the sum of its proper divisors (78456744).

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

42006456 is a wasteful number, since it uses less digits than its factorization.

42006456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34348 (or 34341 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42006456 is about 6481.2387704821. The cubic root of 42006456 is about 347.6204740746.

It can be divided in two parts, 4200645 and 6, that added together give a triangular number (4200651 = T₂₈₉₈).

The spelling of 42006456 in words is "forty-two million, six thousand, four hundred fifty-six".