1530252400 has 120 divisors (see below), whose sum is σ = 3891358080. Its totient is φ = 576679680.

The previous prime is 1530252341. The next prime is 1530252403. The reversal of 1530252400 is 42520351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530252403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724757 + ... + 1725643.

It is an arithmetic number, because the mean of its divisors is an integer number (32427984).

Almost surely, 2^1530252400 is an apocalyptic number.

1530252400 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 1530252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945679040).

1530252400 is an abundant number, since it is smaller than the sum of its proper divisors (2361105680).

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

1530252400 is a wasteful number, since it uses less digits than its factorization.

1530252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1530252400 is about 39118.4406642187. The cubic root of 1530252400 is about 1152.3587127192.

Adding to 1530252400 its reverse (42520351), we get a palindrome (1572772751).

The spelling of 1530252400 in words is "one billion, five hundred thirty million, two hundred fifty-two thousand, four hundred".