1152403200 has 756 divisors, whose sum is σ = 4847979640. Its totient is φ = 268738560.

The previous prime is 1152403183. The next prime is 1152403237. The reversal of 1152403200 is 23042511.

1152403200 is a `hidden beast` number, since 11 + 52 + 403 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60652791 + ... + 60652809.

Almost surely, 2^1152403200 is an apocalyptic number.

1152403200 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 1152403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423989820).

1152403200 is an abundant number, since it is smaller than the sum of its proper divisors (3695576440).

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

1152403200 is an equidigital number, since it uses as much as digits as its factorization.

1152403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1152403200 is about 33947.0646742837. The cubic root of 1152403200 is about 1048.4188446829.

Adding to 1152403200 its reverse (23042511), we get a palindrome (1175445711).

The spelling of 1152403200 in words is "one billion, one hundred fifty-two million, four hundred three thousand, two hundred".