1460252961 has 32 divisors (see below), whose sum is σ = 2411164800. Its totient is φ = 868008960.

The previous prime is 1460252903. The next prime is 1460252977. The reversal of 1460252961 is 1692520641.

1460252961 is a `hidden beast` number, since 14 + 60 + 2 + 529 + 61 = 666.

It is not a de Polignac number, because 1460252961 - 2¹⁰ = 1460251937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1460252161) 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 31 ways as a sum of consecutive naturals, for example, 75000 + ... + 92441.

It is an arithmetic number, because the mean of its divisors is an integer number (75348900).

Almost surely, 2^1460252961 is an apocalyptic number.

It is an amenable number.

1460252961 is a deficient number, since it is larger than the sum of its proper divisors (950911839).

1460252961 is a wasteful number, since it uses less digits than its factorization.

1460252961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167486 (or 167480 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1460252961 is about 38213.2563516903. The cubic root of 1460252961 is about 1134.5127087243.

The spelling of 1460252961 in words is "one billion, four hundred sixty million, two hundred fifty-two thousand, nine hundred sixty-one".