420121164 has 12 divisors (see below), whose sum is σ = 980282744. Its totient is φ = 140040384.

The previous prime is 420121157. The next prime is 420121171. The reversal of 420121164 is 461121024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420121157) and next prime (420121171).

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 420121164.

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, 17505037 + ... + 17505060.

Almost surely, 2^420121164 is an apocalyptic number.

It is an amenable number.

420121164 is an abundant number, since it is smaller than the sum of its proper divisors (560161580).

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

420121164 is a wasteful number, since it uses less digits than its factorization.

420121164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35010104 (or 35010102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 420121164 is about 20496.8574176628. The cubic root of 420121164 is about 748.9592462212.

Adding to 420121164 its reverse (461121024), we get a palindrome (881242188).

The spelling of 420121164 in words is "four hundred twenty million, one hundred twenty-one thousand, one hundred sixty-four".