1152034400 has 288 divisors, whose sum is σ = 3275790336. Its totient is φ = 391680000.

The previous prime is 1152034397. The next prime is 1152034409. The reversal of 1152034400 is 44302511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152034409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11184749 + ... + 11184851.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^1152034400 is an apocalyptic number.

1152034400 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 1152034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

1152034400 is an abundant number, since it is smaller than the sum of its proper divisors (2123755936).

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

1152034400 is a wasteful number, since it uses less digits than its factorization.

1152034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1152034400 is about 33941.6322530311. The cubic root of 1152034400 is about 1048.3069920130.

Adding to 1152034400 its reverse (44302511), we get a palindrome (1196336911).

The spelling of 1152034400 in words is "one billion, one hundred fifty-two million, thirty-four thousand, four hundred".