1152950400 has 864 divisors, whose sum is σ = 5154692400. Its totient is φ = 243855360.

The previous prime is 1152950389. The next prime is 1152950401. The reversal of 1152950400 is 40592511.

1152950400 is a `hidden beast` number, since 1 + 152 + 9 + 504 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1152950401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812779 + ... + 26812821.

Almost surely, 2^1152950400 is an apocalyptic number.

1152950400 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 1152950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577346200).

1152950400 is an abundant number, since it is smaller than the sum of its proper divisors (4001742000).

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

1152950400 is a wasteful number, since it uses less digits than its factorization.

1152950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1152950400 is about 33955.1233247650. The cubic root of 1152950400 is about 1048.5847599958.

The spelling of 1152950400 in words is "one billion, one hundred fifty-two million, nine hundred fifty thousand, four hundred".