1530553200 has 360 divisors, whose sum is σ = 5496981504. Its totient is φ = 363686400.

The previous prime is 1530553153. The next prime is 1530553207. The reversal of 1530553200 is 23550351.

1530553200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530553207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12051537 + ... + 12051663.

Almost surely, 2^1530553200 is an apocalyptic number.

1530553200 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 1530553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748490752).

1530553200 is an abundant number, since it is smaller than the sum of its proper divisors (3966428304).

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

1530553200 is a wasteful number, since it uses less digits than its factorization.

1530553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 1530553200 is about 39122.2852093279. The cubic root of 1530553200 is about 1152.4342137262.

The spelling of 1530553200 in words is "one billion, five hundred thirty million, five hundred fifty-three thousand, two hundred".