1456783968 has 24 divisors (see below), whose sum is σ = 3824058168. Its totient is φ = 485594624.

The previous prime is 1456783949. The next prime is 1456783973. The reversal of 1456783968 is 8693876541.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 7587321 + ... + 7587512.

It is an arithmetic number, because the mean of its divisors is an integer number (159335757).

Almost surely, 2^1456783968 is an apocalyptic number.

It is an amenable number.

1456783968 is an abundant number, since it is smaller than the sum of its proper divisors (2367274200).

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

1456783968 is a wasteful number, since it uses less digits than its factorization.

1456783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15174846 (or 15174838 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 1456783968 is about 38167.8394463192. The cubic root of 1456783968 is about 1133.6136094203.

The spelling of 1456783968 in words is "one billion, four hundred fifty-six million, seven hundred eighty-three thousand, nine hundred sixty-eight".