1033320400 has 120 divisors (see below), whose sum is σ = 2864548800. Its totient is φ = 350868480.

The previous prime is 1033320397. The next prime is 1033320413. The reversal of 1033320400 is 40233301.

1033320400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1033320400³ (a number of 28 digits) contains 333 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297876 + ... + 301324.

It is an arithmetic number, because the mean of its divisors is an integer number (23871240).

Almost surely, 2^1033320400 is an apocalyptic number.

1033320400 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 1033320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432274400).

1033320400 is an abundant number, since it is smaller than the sum of its proper divisors (1831228400).

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

1033320400 is a wasteful number, since it uses less digits than its factorization.

1033320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1033320400 is about 32145.3013673849. The cubic root of 1033320400 is about 1010.9856730522.

Adding to 1033320400 its reverse (40233301), we get a palindrome (1073553701).

The spelling of 1033320400 in words is "one billion, thirty-three million, three hundred twenty thousand, four hundred".