398442241 has 8 divisors (see below), whose sum is σ = 401625000. Its totient is φ = 395266560.

The previous prime is 398442211. The next prime is 398442251. The reversal of 398442241 is 142244893.

It can be written as a sum of positive squares in 4 ways, for example, as 64320400 + 334121841 = 8020^2 + 18279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 398442241 - 2⁷ = 398442113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 398442241.

It is not an unprimeable number, because it can be changed into a prime (398442211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185031 + ... + 187171.

It is an arithmetic number, because the mean of its divisors is an integer number (50203125).

Almost surely, 2^398442241 is an apocalyptic number.

It is an amenable number.

398442241 is a deficient number, since it is larger than the sum of its proper divisors (3182759).

398442241 is a wasteful number, since it uses less digits than its factorization.

398442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539.

The product of its digits is 55296, while the sum is 37.

The square root of 398442241 is about 19961.0180351604. The cubic root of 398442241 is about 735.8485832032.

It can be divided in two parts, 3984 and 42241, that added together give a square (46225 = 215²).

The spelling of 398442241 in words is "three hundred ninety-eight million, four hundred forty-two thousand, two hundred forty-one".