1001403200 has 252 divisors, whose sum is σ = 2932576812. Its totient is φ = 335462400.

The previous prime is 1001403181. The next prime is 1001403203. The reversal of 1001403200 is 23041001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10916416 + 990486784 = 3304^2 + 31472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001403203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4155080 + ... + 4155320.

Almost surely, 2^1001403200 is an apocalyptic number.

1001403200 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 1001403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466288406).

1001403200 is an abundant number, since it is smaller than the sum of its proper divisors (1931173612).

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

1001403200 is a wasteful number, since it uses less digits than its factorization.

1001403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1001403200 is about 31644.9553641651. The cubic root of 1001403200 is about 1000.4675147292.

Adding to 1001403200 its reverse (23041001), we get a palindrome (1024444201).

The spelling of 1001403200 in words is "one billion, one million, four hundred three thousand, two hundred".