1530368256 has 72 divisors (see below), whose sum is σ = 4079496960. Its totient is φ = 509310976.

The previous prime is 1530368233. The next prime is 1530368263. The reversal of 1530368256 is 6528630351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661630 + ... + 663938.

It is an arithmetic number, because the mean of its divisors is an integer number (56659680).

Almost surely, 2^1530368256 is an apocalyptic number.

1530368256 is a gapful number since it is divisible by the number (16) 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 1530368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039748480).

1530368256 is an abundant number, since it is smaller than the sum of its proper divisors (2549128704).

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

1530368256 is an equidigital number, since it uses as much as digits as its factorization.

1530368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 1530368256 is about 39119.9214723138. The cubic root of 1530368256 is about 1152.3877938264.

The spelling of 1530368256 in words is "one billion, five hundred thirty million, three hundred sixty-eight thousand, two hundred fifty-six".