1003542400 has 192 divisors, whose sum is σ = 2877672960. Its totient is φ = 338688000.

The previous prime is 1003542383. The next prime is 1003542409. The reversal of 1003542400 is 42453001.

1003542400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

1003542400 is a nontrivial binomial coefficient, being equal to C(44801, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003542409) 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, 1590085 + ... + 1590715.

It is an arithmetic number, because the mean of its divisors is an integer number (14987880).

Almost surely, 2^1003542400 is an apocalyptic number.

1003542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003542400 is the 44800-th triangular number.

1003542400 is the 14934-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438836480).

1003542400 is an abundant number, since it is smaller than the sum of its proper divisors (1874130560).

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

1003542400 is an equidigital number, since it uses as much as digits as its factorization.

1003542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1003542400 is about 31678.7373485750. The cubic root of 1003542400 is about 1001.1794084489.

Adding to 1003542400 its reverse (42453001), we get a palindrome (1045995401).

It can be divided in two parts, 1003 and 542400, that added together give a triangular number (543403 = T₁₀₄₂).

The spelling of 1003542400 in words is "one billion, three million, five hundred forty-two thousand, four hundred".