406029042 has 12 divisors (see below), whose sum is σ = 879729630. Its totient is φ = 135343008.

The previous prime is 406028963. The next prime is 406029047. The reversal of 406029042 is 240920604.

It can be written as a sum of positive squares in only one way, i.e., 398361681 + 7667361 = 19959^2 + 2769^2 .

It is a super-3 number, since 3×406029042³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406028997 and 406029015.

It is not an unprimeable number, because it can be changed into a prime (406029047) 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 5 ways as a sum of consecutive naturals, for example, 11278567 + ... + 11278602.

Almost surely, 2^406029042 is an apocalyptic number.

406029042 is an abundant number, since it is smaller than the sum of its proper divisors (473700588).

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

406029042 is a wasteful number, since it uses less digits than its factorization.

406029042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22557177 (or 22557174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 406029042 is about 20150.1623318523. The cubic root of 406029042 is about 740.4897184520.

Adding to 406029042 its reverse (240920604), we get a palindrome (646949646).

The spelling of 406029042 in words is "four hundred six million, twenty-nine thousand, forty-two".