1145382480 has 480 divisors, whose sum is σ = 4562707968. Its totient is φ = 254361600.

The previous prime is 1145382467. The next prime is 1145382481. The reversal of 1145382480 is 842835411.

1145382480 is a `hidden beast` number, since 1 + 145 + 38 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145382481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6327990 + ... + 6328170.

Almost surely, 2^1145382480 is an apocalyptic number.

1145382480 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 1145382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281353984).

1145382480 is an abundant number, since it is smaller than the sum of its proper divisors (3417325488).

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

1145382480 is a wasteful number, since it uses less digits than its factorization.

1145382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1145382480 is about 33843.4998190199. The cubic root of 1145382480 is about 1046.2854323548.

The spelling of 1145382480 in words is "one billion, one hundred forty-five million, three hundred eighty-two thousand, four hundred eighty".