405228167 has 8 divisors (see below), whose sum is σ = 429294816. Its totient is φ = 381187072.

The previous prime is 405228151. The next prime is 405228203. The reversal of 405228167 is 761822504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405228167 - 2⁴ = 405228151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405228137) 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 7 ways as a sum of consecutive naturals, for example, 33398 + ... + 43884.

It is an arithmetic number, because the mean of its divisors is an integer number (53661852).

Almost surely, 2^405228167 is an apocalyptic number.

405228167 is a deficient number, since it is larger than the sum of its proper divisors (24066649).

405228167 is a wasteful number, since it uses less digits than its factorization.

405228167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 405228167 is about 20130.2798539911. The cubic root of 405228167 is about 740.0025365143.

The spelling of 405228167 in words is "four hundred five million, two hundred twenty-eight thousand, one hundred sixty-seven".