598710420 has 576 divisors, whose sum is σ = 2523467520. Its totient is φ = 117089280.

The previous prime is 598710407. The next prime is 598710421. The reversal of 598710420 is 24017895.

598710420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (598710421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35218252 + ... + 35218268.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2^598710420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598710420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261733760).

598710420 is an abundant number, since it is smaller than the sum of its proper divisors (1924757100).

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

598710420 is a wasteful number, since it uses less digits than its factorization.

598710420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 598710420 is about 24468.5598268472. The cubic root of 598710420 is about 842.8279685939.

The spelling of 598710420 in words is "five hundred ninety-eight million, seven hundred ten thousand, four hundred twenty".