598555440 has 320 divisors, whose sum is σ = 2434129920. Its totient is φ = 132295680.

The previous prime is 598555439. The next prime is 598555459. The reversal of 598555440 is 44555895.

598555440 is a `hidden beast` number, since 5 + 98 + 5 + 554 + 4 + 0 = 666.

598555440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×598555440³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468082 + ... + 469358.

It is an arithmetic number, because the mean of its divisors is an integer number (7606656).

Almost surely, 2^598555440 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 598555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217064960).

598555440 is an abundant number, since it is smaller than the sum of its proper divisors (1835574480).

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

598555440 is a wasteful number, since it uses less digits than its factorization.

598555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 598555440 is about 24465.3927007109. The cubic root of 598555440 is about 842.7552385246.

It can be divided in two parts, 5985 and 55440, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 598555440 in words is "five hundred ninety-eight million, five hundred fifty-five thousand, four hundred forty".