4198401 has 9 divisors (see below), whose sum is σ = 6073249. Its totient is φ = 2794836.

The previous prime is 4198379. The next prime is 4198409. The reversal of 4198401 is 1048914.

The square root of 4198401 is 2049.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4198401 - 2¹⁵ = 4165633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4198409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5806 + ... + 6488.

It is a Proth number, since it is equal to 1025 ⋅ 2¹² + 1 and 1025 < 2¹².

Almost surely, 2^4198401 is an apocalyptic number.

4198401 is the 2049-th square number.

4198401 is the 1025-th centered octagonal number.

It is an amenable number.

4198401 is a deficient number, since it is larger than the sum of its proper divisors (1874848).

4198401 is an frugal number, since it uses more digits than its factorization.

4198401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 4198401 is about 161.3223868257.

The spelling of 4198401 in words is "four million, one hundred ninety-eight thousand, four hundred one".