406042065 has 224 divisors, whose sum is σ = 925464960. Its totient is φ = 167961600.

The previous prime is 406042057. The next prime is 406042081. The reversal of 406042065 is 560240604.

It is a happy number.

It is not a de Polignac number, because 406042065 - 2³ = 406042057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 223 ways as a sum of consecutive naturals, for example, 9903445 + ... + 9903485.

It is an arithmetic number, because the mean of its divisors is an integer number (4131540).

Almost surely, 2^406042065 is an apocalyptic number.

406042065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406042065 is an abundant number, since it is smaller than the sum of its proper divisors (519422895).

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

406042065 is a wasteful number, since it uses less digits than its factorization.

406042065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406042065 is about 20150.4854780226. The cubic root of 406042065 is about 740.4976352046.

Adding to 406042065 its reverse (560240604), we get a palindrome (966282669).

The spelling of 406042065 in words is "four hundred six million, forty-two thousand, sixty-five".