598890240 has 576 divisors, whose sum is σ = 2417479680. Its totient is φ = 139345920.

The previous prime is 598890233. The next prime is 598890247. The reversal of 598890240 is 42098895.

It is an interprime number because it is at equal distance from previous prime (598890233) and next prime (598890247).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (598890247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13927659 + ... + 13927701.

Almost surely, 2^598890240 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 598890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208739840).

598890240 is an abundant number, since it is smaller than the sum of its proper divisors (1818589440).

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

598890240 is a wasteful number, since it uses less digits than its factorization.

598890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 598890240 is about 24472.2340623001. The cubic root of 598890240 is about 842.9123400193.

The spelling of 598890240 in words is "five hundred ninety-eight million, eight hundred ninety thousand, two hundred forty".