598620456 has 240 divisors, whose sum is σ = 2067030900. Its totient is φ = 160828416.

The previous prime is 598620413. The next prime is 598620461. The reversal of 598620456 is 654026895.

598620456 is a `hidden beast` number, since 598 + 6 + 2 + 0 + 4 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 579172356 + 19448100 = 24066^2 + 4410^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 539230 + ... + 540338.

Almost surely, 2^598620456 is an apocalyptic number.

598620456 is a gapful number since it is divisible by the number (56) 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 598620456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033515450).

598620456 is an abundant number, since it is smaller than the sum of its proper divisors (1468410444).

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

598620456 is a wasteful number, since it uses less digits than its factorization.

598620456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 598620456 is about 24466.7213986672. The cubic root of 598620456 is about 842.7857512041.

It can be divided in two parts, 598620 and 456, that added together give a square (599076 = 774²).

The spelling of 598620456 in words is "five hundred ninety-eight million, six hundred twenty thousand, four hundred fifty-six".