398042401 has 9 divisors (see below), whose sum is σ = 405169459. Its totient is φ = 391039600.

The previous prime is 398042383. The next prime is 398042417. The reversal of 398042401 is 104240893.

The square root of 398042401 is 19951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 268992801 + 129049600 = 16401^2 + 11360^2 .

It is not a de Polignac number, because 398042401 - 2¹⁷ = 397911329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398042431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1416381 + ... + 1416661.

Almost surely, 2^398042401 is an apocalyptic number.

398042401 is the 19951-st square number.

398042401 is the 9976-th centered octagonal number.

It is an amenable number.

398042401 is a deficient number, since it is larger than the sum of its proper divisors (7127058).

398042401 is an frugal number, since it uses more digits than its factorization.

398042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 398042401 is about 735.6023574938.

The spelling of 398042401 in words is "three hundred ninety-eight million, forty-two thousand, four hundred one".