1530020800 has 252 divisors, whose sum is σ = 4733533840. Its totient is φ = 476467200.

The previous prime is 1530020761. The next prime is 1530020827. The reversal of 1530020800 is 80200351.

It is a happy number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1354636 + ... + 1355764.

Almost surely, 2^1530020800 is an apocalyptic number.

1530020800 is a gapful number since it is divisible by the number (10) 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 1530020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366766920).

1530020800 is an abundant number, since it is smaller than the sum of its proper divisors (3203513040).

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

1530020800 is a wasteful number, since it uses less digits than its factorization.

1530020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1530020800 is about 39115.4803115084. The cubic root of 1530020800 is about 1152.3005742180.

It can be divided in two parts, 15300 and 20800, that added together give a square (36100 = 190²).

The spelling of 1530020800 in words is "one billion, five hundred thirty million, twenty thousand, eight hundred".