1145446400 has 336 divisors, whose sum is σ = 3510418176. Its totient is φ = 361758720.

The previous prime is 1145446387. The next prime is 1145446403. The reversal of 1145446400 is 46445411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145446403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24371177 + ... + 24371223.

Almost surely, 2^1145446400 is an apocalyptic number.

1145446400 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 1145446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755209088).

1145446400 is an abundant number, since it is smaller than the sum of its proper divisors (2364971776).

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

1145446400 is an equidigital number, since it uses as much as digits as its factorization.

1145446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1145446400 is about 33844.4441526227. Note that the first 3 decimals coincide. The cubic root of 1145446400 is about 1046.3048952334.

The spelling of 1145446400 in words is "one billion, one hundred forty-five million, four hundred forty-six thousand, four hundred".