598401 has 16 divisors (see below), whose sum is σ = 912000. Its totient is φ = 387504.

The previous prime is 598399. The next prime is 598421. The reversal of 598401 is 104895.

It is not a de Polignac number, because 598401 - 2¹ = 598399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 598401.

It is not an unprimeable number, because it can be changed into a prime (598421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (57000).

2⁵⁹⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

598401 is a deficient number, since it is larger than the sum of its proper divisors (313599).

598401 is a wasteful number, since it uses less digits than its factorization.

598401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 598401 is about 773.5638305919. The cubic root of 598401 is about 84.2682749380.

It can be divided in two parts, 598 and 401, that added together give a palindrome (999).

The spelling of 598401 in words is "five hundred ninety-eight thousand, four hundred one".