598400 has 96 divisors (see below), whose sum is σ = 1707480. Its totient is φ = 204800.

The previous prime is 598399. The next prime is 598421. The reversal of 598400 is 4895.

It is a self number, because there is not a number n which added to its sum of digits gives 598400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35192 + ... + 35208.

2⁵⁹⁸⁴⁰⁰ is an apocalyptic number.

598400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853740).

598400 is an abundant number, since it is smaller than the sum of its proper divisors (1109080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

598400 is a wasteful number, since it uses less digits than its factorization.

598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 598400 is about 773.5631842325. The cubic root of 598400 is about 84.2682279972.

Subtracting from 598400 its reverse (4895), we obtain a triangular number (593505 = T₁₀₈₉).

The spelling of 598400 in words is "five hundred ninety-eight thousand, four hundred".