42564405 has 16 divisors (see below), whose sum is σ = 73342080. Its totient is φ = 20954688.

The previous prime is 42564377. The next prime is 42564407. The reversal of 42564405 is 50446524.

It is not a de Polignac number, because 42564405 - 2⁹ = 42563893 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564407) 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, 108945 + ... + 109334.

It is an arithmetic number, because the mean of its divisors is an integer number (4583880).

Almost surely, 2^42564405 is an apocalyptic number.

It is an amenable number.

42564405 is a deficient number, since it is larger than the sum of its proper divisors (30777675).

42564405 is a wasteful number, since it uses less digits than its factorization.

42564405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218300.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 42564405 is about 6524.1401732336. The cubic root of 42564405 is about 349.1527944571.

The spelling of 42564405 in words is "forty-two million, five hundred sixty-four thousand, four hundred five".