404021241 has 24 divisors (see below), whose sum is σ = 645470280. Its totient is φ = 241906176.

The previous prime is 404021237. The next prime is 404021251. The reversal of 404021241 is 142120404.

404021241 is a `hidden beast` number, since 404 + 0 + 21 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 369446841 = 5880^2 + 19221^2 .

It is not a de Polignac number, because 404021241 - 2² = 404021237 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404021231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42336 + ... + 50993.

It is an arithmetic number, because the mean of its divisors is an integer number (26894595).

Almost surely, 2^404021241 is an apocalyptic number.

It is an amenable number.

404021241 is a deficient number, since it is larger than the sum of its proper divisors (241449039).

404021241 is a wasteful number, since it uses less digits than its factorization.

404021241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93385 (or 93382 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404021241 is about 20100.2796249206. The cubic root of 404021241 is about 739.2671348008.

Adding to 404021241 its reverse (142120404), we get a palindrome (546141645).

It can be divided in two parts, 4040 and 21241, that added together give a square (25281 = 159²).

The spelling of 404021241 in words is "four hundred four million, twenty-one thousand, two hundred forty-one".