406164420 has 36 divisors (see below), whose sum is σ = 1232032620. Its totient is φ = 108310464.

The previous prime is 406164419. The next prime is 406164427. The reversal of 406164420 is 24461604.

406164420 is a `hidden beast` number, since 4 + 0 + 616 + 4 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239444676 + 166719744 = 15474^2 + 12912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (406164427) 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 11 ways as a sum of consecutive naturals, for example, 1128055 + ... + 1128414.

Almost surely, 2^406164420 is an apocalyptic number.

It is an amenable number.

406164420 is an abundant number, since it is smaller than the sum of its proper divisors (825868200).

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

406164420 is a wasteful number, since it uses less digits than its factorization.

406164420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256484 (or 2256479 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 406164420 is about 20153.5212804115. The cubic root of 406164420 is about 740.5720072109.

The spelling of 406164420 in words is "four hundred six million, one hundred sixty-four thousand, four hundred twenty".