1531328400 has 270 divisors, whose sum is σ = 6182460882. Its totient is φ = 349977600.

The previous prime is 1531328371. The next prime is 1531328423. The reversal of 1531328400 is 48231351.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 262828944 + 1268499456 = 16212^2 + 35616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 172060 + ... + 180740.

Almost surely, 2^1531328400 is an apocalyptic number.

1531328400 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 1531328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091230441).

1531328400 is an abundant number, since it is smaller than the sum of its proper divisors (4651132482).

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

1531328400 is a wasteful number, since it uses less digits than its factorization.

1531328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1531328400 is about 39132.1913518781. The cubic root of 1531328400 is about 1152.6287438737.

Adding to 1531328400 its reverse (48231351), we get a palindrome (1579559751).

The spelling of 1531328400 in words is "one billion, five hundred thirty-one million, three hundred twenty-eight thousand, four hundred".