1598720256 has 405 divisors, whose sum is σ = 5712362201. Its totient is φ = 429907968.

The previous prime is 1598720237. The next prime is 1598720297. The reversal of 1598720256 is 6520278951.

The square root of 1598720256 is 39984.

It is a perfect power (a square), and thus also a powerful number.

1598720256 is a `hidden beast` number, since 1 + 598 + 7 + 2 + 0 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 354041856 = 35280^2 + 18816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 94042360 + ... + 94042376.

Almost surely, 2^1598720256 is an apocalyptic number.

1598720256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1598720256 is the 39984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1598720256

1598720256 is an abundant number, since it is smaller than the sum of its proper divisors (4113641945).

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

1598720256 is an frugal number, since it uses more digits than its factorization.

1598720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The cubic root of 1598720256 is about 1169.2951792630.

The spelling of 1598720256 in words is "one billion, five hundred ninety-eight million, seven hundred twenty thousand, two hundred fifty-six".