1456742241 has 12 divisors (see below), whose sum is σ = 2117587732. Its totient is φ = 964974816.

The previous prime is 1456742233. The next prime is 1456742249. The reversal of 1456742241 is 1422476541.

1456742241 is a `hidden beast` number, since 14 + 567 + 42 + 2 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1456742233) and next prime (1456742249).

It can be written as a sum of positive squares in 2 ways, for example, as 1003052241 + 453690000 = 31671^2 + 21300^2 .

It is not a de Polignac number, because 1456742241 - 2³ = 1456742233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1456742196 and 1456742205.

It is not an unprimeable number, because it can be changed into a prime (1456742249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514066 + ... + 516891.

Almost surely, 2^1456742241 is an apocalyptic number.

It is an amenable number.

1456742241 is a deficient number, since it is larger than the sum of its proper divisors (660845491).

1456742241 is a wasteful number, since it uses less digits than its factorization.

1456742241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031120 (or 1031117 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1456742241 is about 38167.2928172801. The cubic root of 1456742241 is about 1133.6027858647.

The spelling of 1456742241 in words is "one billion, four hundred fifty-six million, seven hundred forty-two thousand, two hundred forty-one".