429272625721 has 9 divisors (see below), whose sum is σ = 432233933733. Its totient is φ = 426331482300.

The previous prime is 429272625713. The next prime is 429272625731. The reversal of 429272625721 is 127526272924.

The square root of 429272625721 is 655189.

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

It is not a de Polignac number, because 429272625721 - 2³ = 429272625713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429272625731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98931370 + ... + 98935708.

It is an arithmetic number, because the mean of its divisors is an integer number (48025992637).

Almost surely, 2^429272625721 is an apocalyptic number.

429272625721 is the 655189-th square number.

429272625721 is the 327595-th centered octagonal number.

It is an amenable number.

429272625721 is a deficient number, since it is larger than the sum of its proper divisors (2961308012).

429272625721 is an frugal number, since it uses more digits than its factorization.

429272625721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 4490 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 429272625721 by its sum of digits (49), we get a square (21034358660329 = 4586323²).

The spelling of 429272625721 in words is "four hundred twenty-nine billion, two hundred seventy-two million, six hundred twenty-five thousand, seven hundred twenty-one".