404928401 has 2 divisors, whose sum is σ = 404928402. Its totient is φ = 404928400.

The previous prime is 404928371. The next prime is 404928473. The reversal of 404928401 is 104829404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257281600 + 147646801 = 16040^2 + 12151^2 .

It is a cyclic number.

It is not a de Polignac number, because 404928401 - 2²² = 400734097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (404928001) 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 as a sum of consecutive naturals, namely, 202464200 + 202464201.

It is an arithmetic number, because the mean of its divisors is an integer number (202464201).

Almost surely, 2^404928401 is an apocalyptic number.

It is an amenable number.

404928401 is a deficient number, since it is larger than the sum of its proper divisors (1).

404928401 is an equidigital number, since it uses as much as digits as its factorization.

404928401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 404928401 is about 20122.8328274127. The cubic root of 404928401 is about 739.8200201448.

The spelling of 404928401 in words is "four hundred four million, nine hundred twenty-eight thousand, four hundred one".