405628167 has 16 divisors (see below), whose sum is σ = 618474752. Its totient is φ = 231647040.

The previous prime is 405628163. The next prime is 405628187. The reversal of 405628167 is 761826504.

It is not a de Polignac number, because 405628167 - 2² = 405628163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405628163) 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 15 ways as a sum of consecutive naturals, for example, 36867 + ... + 46587.

It is an arithmetic number, because the mean of its divisors is an integer number (38654672).

Almost surely, 2^405628167 is an apocalyptic number.

405628167 is a deficient number, since it is larger than the sum of its proper divisors (212846585).

405628167 is a wasteful number, since it uses less digits than its factorization.

405628167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 405628167 is about 20140.2126850736. The cubic root of 405628167 is about 740.2459415044.

It can be divided in two parts, 4056 and 28167, that added together give a palindrome (32223).

The spelling of 405628167 in words is "four hundred five million, six hundred twenty-eight thousand, one hundred sixty-seven".