42457761 has 12 divisors (see below), whose sum is σ = 64555920. Its totient is φ = 26815320.

The previous prime is 42457741. The next prime is 42457763. The reversal of 42457761 is 16775424.

42457761 is a `hidden beast` number, since 4 + 24 + 577 + 61 = 666.

42457761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42457761 - 2⁶ = 42457697 is a prime.

It is a super-2 number, since 2×42457761² = 3605322938266242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42457763) by changing a digit.

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, 123975 + ... + 124316.

It is an arithmetic number, because the mean of its divisors is an integer number (5379660).

Almost surely, 2^42457761 is an apocalyptic number.

It is an amenable number.

42457761 is a deficient number, since it is larger than the sum of its proper divisors (22098159).

42457761 is a wasteful number, since it uses less digits than its factorization.

42457761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248316 (or 248313 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 42457761 is about 6515.9620164639. The cubic root of 42457761 is about 348.8609528654.

It can be divided in two parts, 424 and 57761, that added together give a palindrome (58185).

The spelling of 42457761 in words is "forty-two million, four hundred fifty-seven thousand, seven hundred sixty-one".