1460440641 has 16 divisors (see below), whose sum is σ = 2249235648. Its totient is φ = 833049600.

The previous prime is 1460440549. The next prime is 1460440649.

1460440641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1460440641 - 2⁹ = 1460440129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1460440599 and 1460440608.

It is not an unprimeable number, because it can be changed into a prime (1460440649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301080 + ... + 1302201.

It is an arithmetic number, because the mean of its divisors is an integer number (140577228).

Almost surely, 2^1460440641 is an apocalyptic number.

1460440641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1460440641 is a deficient number, since it is larger than the sum of its proper divisors (788795007).

1460440641 is a wasteful number, since it uses less digits than its factorization.

1460440641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603312.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1460440641 is about 38215.7119651067. The cubic root of 1460440641 is about 1134.5613113133.

The spelling of 1460440641 in words is "one billion, four hundred sixty million, four hundred forty thousand, six hundred forty-one".