42000405 has 32 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 21826560.

The previous prime is 42000383. The next prime is 42000419. The reversal of 42000405 is 50400024.

It is not a de Polignac number, because 42000405 - 2¹⁴ = 41984021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120171 + ... + 120519.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^42000405 is an apocalyptic number.

It is an amenable number.

42000405 is a deficient number, since it is larger than the sum of its proper divisors (26946795).

42000405 is a wasteful number, since it uses less digits than its factorization.

42000405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42000405 is about 6480.7719447609. The cubic root of 42000405 is about 347.6037817793.

Adding to 42000405 its reverse (50400024), we get a palindrome (92400429).

The spelling of 42000405 in words is "forty-two million, four hundred five", and thus it is an aban number.