1456617961 has 8 divisors (see below), whose sum is σ = 1504639944. Its totient is φ = 1409051520.

The previous prime is 1456617959. The next prime is 1456617971. The reversal of 1456617961 is 1697166541.

It can be written as a sum of positive squares in 4 ways, for example, as 1225000000 + 231617961 = 35000^2 + 15219^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1456617961 - 2¹ = 1456617959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1456617971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107380 + ... + 120181.

It is an arithmetic number, because the mean of its divisors is an integer number (188079993).

Almost surely, 2^1456617961 is an apocalyptic number.

It is an amenable number.

1456617961 is a deficient number, since it is larger than the sum of its proper divisors (48021983).

1456617961 is a wasteful number, since it uses less digits than its factorization.

1456617961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227771.

The product of its digits is 272160, while the sum is 46.

The square root of 1456617961 is about 38165.6646869932. The cubic root of 1456617961 is about 1133.5705476835.

The spelling of 1456617961 in words is "one billion, four hundred fifty-six million, six hundred seventeen thousand, nine hundred sixty-one".