434200605721 has 27 divisors (see below), whose sum is σ = 465189829461. Its totient is φ = 405215855928.

The previous prime is 434200605697. The next prime is 434200605731. The reversal of 434200605721 is 127506002434.

The square root of 434200605721 is 658939.

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

It is not a de Polignac number, because 434200605721 - 2¹³ = 434200597529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434200605731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 989067220 + ... + 989067658.

It is an arithmetic number, because the mean of its divisors is an integer number (17229252943).

Almost surely, 2^434200605721 is an apocalyptic number.

434200605721 is the 658939-th square number.

434200605721 is the 329470-th centered octagonal number.

It is an amenable number.

434200605721 is a deficient number, since it is larger than the sum of its proper divisors (30989223740).

434200605721 is an frugal number, since it uses more digits than its factorization.

434200605721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 434200605721 in words is "four hundred thirty-four billion, two hundred million, six hundred five thousand, seven hundred twenty-one".