1530055296 has 384 divisors, whose sum is σ = 5621391360. Its totient is φ = 387901440.

The previous prime is 1530055291. The next prime is 1530055309. The reversal of 1530055296 is 6925500351.

1530055296 is a `hidden beast` number, since 15 + 3 + 0 + 0 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1530055296.

It is not an unprimeable number, because it can be changed into a prime (1530055291) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4168905 + ... + 4169271.

It is an arithmetic number, because the mean of its divisors is an integer number (14639040).

Almost surely, 2^1530055296 is an apocalyptic number.

1530055296 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 1530055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810695680).

1530055296 is an abundant number, since it is smaller than the sum of its proper divisors (4091336064).

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

1530055296 is a wasteful number, since it uses less digits than its factorization.

1530055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 1530055296 is about 39115.9212597633. The cubic root of 1530055296 is about 1152.3092341137.

It can be divided in two parts, 1530055 and 296, that added together give a palindrome (1530351).

The spelling of 1530055296 in words is "one billion, five hundred thirty million, fifty-five thousand, two hundred ninety-six".