1146789600 has 288 divisors, whose sum is σ = 4117236480. Its totient is φ = 277235200.

The previous prime is 1146789577. The next prime is 1146789607. The reversal of 1146789600 is 69876411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146789607) 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, 3194221 + ... + 3194579.

It is an arithmetic number, because the mean of its divisors is an integer number (14295960).

Almost surely, 2^1146789600 is an apocalyptic number.

1146789600 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 1146789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058618240).

1146789600 is an abundant number, since it is smaller than the sum of its proper divisors (2970446880).

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

1146789600 is a wasteful number, since it uses less digits than its factorization.

1146789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1146789600 is about 33864.2820682796. The cubic root of 1146789600 is about 1046.7137162689.

The spelling of 1146789600 in words is "one billion, one hundred forty-six million, seven hundred eighty-nine thousand, six hundred".