1001532400 has 240 divisors, whose sum is σ = 2789821440. Its totient is φ = 342092800.

The previous prime is 1001532383. The next prime is 1001532443. The reversal of 1001532400 is 42351001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5997117 + ... + 5997283.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 2^1001532400 is an apocalyptic number.

1001532400 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 1001532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394910720).

1001532400 is an abundant number, since it is smaller than the sum of its proper divisors (1788289040).

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

1001532400 is a wasteful number, since it uses less digits than its factorization.

1001532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1001532400 is about 31646.9966979491. The cubic root of 1001532400 is about 1000.5105393053.

Adding to 1001532400 its reverse (42351001), we get a palindrome (1043883401).

The spelling of 1001532400 in words is "one billion, one million, five hundred thirty-two thousand, four hundred".