264429407529 has 81 divisors (see below), whose sum is σ = 454840983831. Its totient is φ = 147603718080.

The previous prime is 264429407423. The next prime is 264429407533. The reversal of 264429407529 is 925704924462.

The square root of 264429407529 is 514227.

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

264429407529 is a `hidden beast` number, since 26 + 4 + 4 + 2 + 94 + 0 + 7 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75830289129 + 188599118400 = 275373^2 + 434280^2 .

It is not a de Polignac number, because 264429407529 - 2²¹ = 264427310377 is a prime.

It is a super-2 number, since 2×264429407529² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264429407569) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 507541789 + ... + 507542309.

Almost surely, 2^264429407529 is an apocalyptic number.

264429407529 is the 514227-th square number.

264429407529 is the 257114-th centered octagonal number.

It is an amenable number.

264429407529 is a deficient number, since it is larger than the sum of its proper divisors (190411576302).

264429407529 is an frugal number, since it uses more digits than its factorization.

264429407529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 264429407529 in words is "two hundred sixty-four billion, four hundred twenty-nine million, four hundred seven thousand, five hundred twenty-nine".