42705264 has 120 divisors (see below), whose sum is σ = 130729728. Its totient is φ = 11975040.

The previous prime is 42705251. The next prime is 42705269. The reversal of 42705264 is 46250724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157449 + ... + 157719.

Almost surely, 2^42705264 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 42705264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65364864).

42705264 is an abundant number, since it is smaller than the sum of its proper divisors (88024464).

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

42705264 is a wasteful number, since it uses less digits than its factorization.

42705264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42705264 is about 6534.9264724249. The cubic root of 42705264 is about 349.5375225012.

Adding to 42705264 its reverse (46250724), we get a palindrome (88955988).

The spelling of 42705264 in words is "forty-two million, seven hundred five thousand, two hundred sixty-four".