398432441 has 16 divisors (see below), whose sum is σ = 442350720. Its totient is φ = 355850880.

The previous prime is 398432423. The next prime is 398432459. The reversal of 398432441 is 144234893.

It is an interprime number because it is at equal distance from previous prime (398432423) and next prime (398432459).

It is not a de Polignac number, because 398432441 - 2²² = 394238137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 398432395 and 398432404.

It is not an unprimeable number, because it can be changed into a prime (398431441) 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 15 ways as a sum of consecutive naturals, for example, 162275 + ... + 164711.

It is an arithmetic number, because the mean of its divisors is an integer number (27646920).

Almost surely, 2^398432441 is an apocalyptic number.

It is an amenable number.

398432441 is a deficient number, since it is larger than the sum of its proper divisors (43918279).

398432441 is a wasteful number, since it uses less digits than its factorization.

398432441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704.

The product of its digits is 82944, while the sum is 38.

The square root of 398432441 is about 19960.7725551893. The cubic root of 398432441 is about 735.8425502291.

The spelling of 398432441 in words is "three hundred ninety-eight million, four hundred thirty-two thousand, four hundred forty-one".