1530303264 has 288 divisors, whose sum is σ = 5166120960. Its totient is φ = 420650496.

The previous prime is 1530303259. The next prime is 1530303277. The reversal of 1530303264 is 4623030351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11009307 + ... + 11009445.

It is an arithmetic number, because the mean of its divisors is an integer number (17937920).

Almost surely, 2^1530303264 is an apocalyptic number.

1530303264 is a gapful number since it is divisible by the number (14) 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 1530303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583060480).

1530303264 is an abundant number, since it is smaller than the sum of its proper divisors (3635817696).

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

1530303264 is a wasteful number, since it uses less digits than its factorization.

1530303264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1530303264 is about 39119.0907869802. The cubic root of 1530303264 is about 1152.3714803133.

The spelling of 1530303264 in words is "one billion, five hundred thirty million, three hundred three thousand, two hundred sixty-four".