1155403200 has 336 divisors, whose sum is σ = 4381219584. Its totient is φ = 261120000.

The previous prime is 1155403189. The next prime is 1155403211. The reversal of 1155403200 is 23045511.

1155403200 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 (1155403189) and next prime (1155403211).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 4603075 + ... + 4603325.

It is an arithmetic number, because the mean of its divisors is an integer number (13039344).

Almost surely, 2^1155403200 is an apocalyptic number.

1155403200 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 1155403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190609792).

1155403200 is an abundant number, since it is smaller than the sum of its proper divisors (3225816384).

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

1155403200 is a wasteful number, since it uses less digits than its factorization.

1155403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1155403200 is about 33991.2223963776. Note that the first 3 decimals coincide. The cubic root of 1155403200 is about 1049.3278237545.

Adding to 1155403200 its reverse (23045511), we get a palindrome (1178448711).

The spelling of 1155403200 in words is "one billion, one hundred fifty-five million, four hundred three thousand, two hundred".