398508441 has 48 divisors (see below), whose sum is σ = 597134592. Its totient is φ = 235461120.

The previous prime is 398508437. The next prime is 398508449. The reversal of 398508441 is 144805893.

It is not a de Polignac number, because 398508441 - 2² = 398508437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 398508393 and 398508402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398508449) 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 47 ways as a sum of consecutive naturals, for example, 2303431 + ... + 2303603.

It is an arithmetic number, because the mean of its divisors is an integer number (12440304).

Almost surely, 2^398508441 is an apocalyptic number.

398508441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

398508441 is a deficient number, since it is larger than the sum of its proper divisors (198626151).

398508441 is a wasteful number, since it uses less digits than its factorization.

398508441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 398508441 is about 19962.6761983458. The cubic root of 398508441 is about 735.8893339684.

The spelling of 398508441 in words is "three hundred ninety-eight million, five hundred eight thousand, four hundred forty-one".