1203028800 has 336 divisors, whose sum is σ = 4367613312. Its totient is φ = 288358400.

The previous prime is 1203028793. The next prime is 1203028807. The reversal of 1203028800 is 88203021.

1203028800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1203028793) and next prime (1203028807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203028807) 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 47 ways as a sum of consecutive naturals, for example, 1876480 + ... + 1877120.

Almost surely, 2^1203028800 is an apocalyptic number.

1203028800 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 1203028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183806656).

1203028800 is an abundant number, since it is smaller than the sum of its proper divisors (3164584512).

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

1203028800 is a wasteful number, since it uses less digits than its factorization.

1203028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1203028800 is about 34684.7055631153. The cubic root of 1203028800 is about 1063.5518681177.

The spelling of 1203028800 in words is "one billion, two hundred three million, twenty-eight thousand, eight hundred".