1456829241 has 12 divisors (see below), whose sum is σ = 2259572112. Its totient is φ = 832473768.

The previous prime is 1456829167. The next prime is 1456829243. The reversal of 1456829241 is 1429286541.

It is not a de Polignac number, because 1456829241 - 2⁷ = 1456829113 is a prime.

It is a super-3 number, since 3×1456829241³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1456829193 and 1456829202.

It is not an unprimeable number, because it can be changed into a prime (1456829243) 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, 4955055 + ... + 4955348.

It is an arithmetic number, because the mean of its divisors is an integer number (188297676).

Almost surely, 2^1456829241 is an apocalyptic number.

It is an amenable number.

1456829241 is a deficient number, since it is larger than the sum of its proper divisors (802742871).

1456829241 is an equidigital number, since it uses as much as digits as its factorization.

1456829241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910420 (or 9910413 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1456829241 is about 38168.4325195573. The cubic root of 1456829241 is about 1133.6253525381.

The spelling of 1456829241 in words is "one billion, four hundred fifty-six million, eight hundred twenty-nine thousand, two hundred forty-one".