42405735 has 16 divisors (see below), whose sum is σ = 71840736. Its totient is φ = 21285888.

The previous prime is 42405731. The next prime is 42405751. The reversal of 42405735 is 53750424.

It is not a de Polignac number, because 42405735 - 2² = 42405731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42405731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82894 + ... + 83403.

It is an arithmetic number, because the mean of its divisors is an integer number (4490046).

Almost surely, 2^42405735 is an apocalyptic number.

42405735 is a deficient number, since it is larger than the sum of its proper divisors (29435001).

42405735 is a wasteful number, since it uses less digits than its factorization.

42405735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166322.

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 42405735 is about 6511.9685963616. The cubic root of 42405735 is about 348.7184013200.

The spelling of 42405735 in words is "forty-two million, four hundred five thousand, seven hundred thirty-five".