42456361 has 8 divisors (see below), whose sum is σ = 46050984. Its totient is φ = 38983680.

The previous prime is 42456347. The next prime is 42456383. The reversal of 42456361 is 16365424.

42456361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 608400 + 41847961 = 780^2 + 6469^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42456361 - 2¹⁷ = 42325289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42456961) 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 7 ways as a sum of consecutive naturals, for example, 29760 + ... + 31153.

It is an arithmetic number, because the mean of its divisors is an integer number (5756373).

Almost surely, 2^42456361 is an apocalyptic number.

42456361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42456361 is a deficient number, since it is larger than the sum of its proper divisors (3594623).

42456361 is a wasteful number, since it uses less digits than its factorization.

42456361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60971.

The product of its digits is 17280, while the sum is 31.

The square root of 42456361 is about 6515.8545870822. The cubic root of 42456361 is about 348.8571183823.

The spelling of 42456361 in words is "forty-two million, four hundred fifty-six thousand, three hundred sixty-one".