1145506440 has 128 divisors (see below), whose sum is σ = 3723874560. Its totient is φ = 280218624.

The previous prime is 1145506423. The next prime is 1145506441. The reversal of 1145506440 is 446055411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1145506398 and 1145506407.

It is not an unprimeable number, because it can be changed into a prime (1145506441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258322 + ... + 262718.

It is an arithmetic number, because the mean of its divisors is an integer number (29092770).

Almost surely, 2^1145506440 is an apocalyptic number.

1145506440 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 1145506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861937280).

1145506440 is an abundant number, since it is smaller than the sum of its proper divisors (2578368120).

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

1145506440 is a wasteful number, since it uses less digits than its factorization.

1145506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1145506440 is about 33845.3311403508. The cubic root of 1145506440 is about 1046.3231760389.

The spelling of 1145506440 in words is "one billion, one hundred forty-five million, five hundred six thousand, four hundred forty".