1145430720 has 560 divisors, whose sum is σ = 4779751680. Its totient is φ = 254969856.

The previous prime is 1145430703. The next prime is 1145430721. The reversal of 1145430720 is 270345411.

1145430720 is a `hidden beast` number, since 114 + 543 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1145430721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10704907 + ... + 10705013.

Almost surely, 2^1145430720 is an apocalyptic number.

1145430720 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 1145430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389875840).

1145430720 is an abundant number, since it is smaller than the sum of its proper divisors (3634320960).

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

1145430720 is a wasteful number, since it uses less digits than its factorization.

1145430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1145430720 is about 33844.2125037650. The cubic root of 1145430720 is about 1046.3001209272.

The spelling of 1145430720 in words is "one billion, one hundred forty-five million, four hundred thirty thousand, seven hundred twenty".