407164 has 12 divisors (see below), whose sum is σ = 718704. Its totient is φ = 201824.

The previous prime is 407153. The next prime is 407177. The reversal of 407164 is 461704.

407164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (59892).

2⁴⁰⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

407164 is a deficient number, since it is larger than the sum of its proper divisors (311540).

407164 is a wasteful number, since it uses less digits than its factorization.

407164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 407164 is about 638.0940369569. The cubic root of 407164 is about 74.1179031110.

Adding to 407164 its reverse (461704), we get a palindrome (868868).

The spelling of 407164 in words is "four hundred seven thousand, one hundred sixty-four".