407071667 has 4 divisors (see below), whose sum is σ = 407112600. Its totient is φ = 407030736.

The previous prime is 407071649. The next prime is 407071673. The reversal of 407071667 is 766170704.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 407071667 - 2⁶ = 407071603 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 407071667.

It is not an unprimeable number, because it can be changed into a prime (407071697) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5084 + ... + 28982.

It is an arithmetic number, because the mean of its divisors is an integer number (101778150).

Almost surely, 2^407071667 is an apocalyptic number.

407071667 is a deficient number, since it is larger than the sum of its proper divisors (40933).

407071667 is a wasteful number, since it uses less digits than its factorization.

407071667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40932.

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 407071667 is about 20176.0171242988. The cubic root of 407071667 is about 741.1230008966.

It can be divided in two parts, 40 and 7071667, that added together give a palindrome (7071707).

The spelling of 407071667 in words is "four hundred seven million, seventy-one thousand, six hundred sixty-seven".