1457920729 has 2 divisors, whose sum is σ = 1457920730. Its totient is φ = 1457920728.

The previous prime is 1457920693. The next prime is 1457920733. The reversal of 1457920729 is 9270297541.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1307907225 + 150013504 = 36165^2 + 12248^2 .

It is a cyclic number.

It is not a de Polignac number, because 1457920729 - 2⁷ = 1457920601 is a prime.

It is a super-3 number, since 3×1457920729³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1457920129) 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 as a sum of consecutive naturals, namely, 728960364 + 728960365.

It is an arithmetic number, because the mean of its divisors is an integer number (728960365).

Almost surely, 2^1457920729 is an apocalyptic number.

It is an amenable number.

1457920729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1457920729 is an equidigital number, since it uses as much as digits as its factorization.

1457920729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 1457920729 is about 38182.7281503038. The cubic root of 1457920729 is about 1133.9083940799.

The spelling of 1457920729 in words is "one billion, four hundred fifty-seven million, nine hundred twenty thousand, seven hundred twenty-nine".