598728240 has 320 divisors, whose sum is σ = 2279854080. Its totient is φ = 143216640.

The previous prime is 598728239. The next prime is 598728257. The reversal of 598728240 is 42827895.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2684769 + ... + 2684991.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^598728240 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 598728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

598728240 is an abundant number, since it is smaller than the sum of its proper divisors (1681125840).

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

598728240 is a wasteful number, since it uses less digits than its factorization.

598728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 598728240 is about 24468.9239648988. The cubic root of 598728240 is about 842.8363304802.

The spelling of 598728240 in words is "five hundred ninety-eight million, seven hundred twenty-eight thousand, two hundred forty".