1461309968 has 40 divisors (see below), whose sum is σ = 3034264128. Its totient is φ = 679992192.

The previous prime is 1461309959. The next prime is 1461309973. The reversal of 1461309968 is 8699031641.

It is a super-2 number, since 2×1461309968² = 4270853645152322048, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40046 + ... + 67277.

Almost surely, 2^1461309968 is an apocalyptic number.

It is an amenable number.

1461309968 is an abundant number, since it is smaller than the sum of its proper divisors (1572954160).

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

1461309968 is a wasteful number, since it uses less digits than its factorization.

1461309968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107391 (or 107385 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 1461309968 is about 38227.0842204843. The cubic root of 1461309968 is about 1134.7863824594.

The spelling of 1461309968 in words is "one billion, four hundred sixty-one million, three hundred nine thousand, nine hundred sixty-eight".