1005456144 has 80 divisors (see below), whose sum is σ = 3238364160. Its totient is φ = 261156480.

The previous prime is 1005456121. The next prime is 1005456149. The reversal of 1005456144 is 4416545001.

1005456144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1005456149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132324 + ... + 139715.

It is an arithmetic number, because the mean of its divisors is an integer number (40479552).

Almost surely, 2^1005456144 is an apocalyptic number.

1005456144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005456144 is an abundant number, since it is smaller than the sum of its proper divisors (2232908016).

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

1005456144 is a wasteful number, since it uses less digits than its factorization.

1005456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272068 (or 272062 counting only the distinct ones).

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

The square root of 1005456144 is about 31708.9284587165. The cubic root of 1005456144 is about 1001.8154169336.

The spelling of 1005456144 in words is "one billion, five million, four hundred fifty-six thousand, one hundred forty-four".