1460997729 has 45 divisors (see below), whose sum is σ = 2271732771. Its totient is φ = 935699040.

The previous prime is 1460997719. The next prime is 1460997749. The reversal of 1460997729 is 9277990641.

The square root of 1460997729 is 38223.

It is a perfect power (a square), and thus also a powerful number.

1460997729 is a `hidden beast` number, since 1 + 4 + 609 + 9 + 7 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 858197025 + 602800704 = 29295^2 + 24552^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1460997729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1460997719) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10664149 + ... + 10664285.

Almost surely, 2^1460997729 is an apocalyptic number.

1460997729 is the 38223-rd square number.

1460997729 is the 19112-nd centered octagonal number.

It is an amenable number.

1460997729 is a deficient number, since it is larger than the sum of its proper divisors (810735042).

1460997729 is an frugal number, since it uses more digits than its factorization.

1460997729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The cubic root of 1460997729 is about 1134.7055532006.

The spelling of 1460997729 in words is "one billion, four hundred sixty million, nine hundred ninety-seven thousand, seven hundred twenty-nine".