431409885124 has 27 divisors (see below), whose sum is σ = 757942191111. Its totient is φ = 214858304160.

The previous prime is 431409885047. The next prime is 431409885131. The reversal of 431409885124 is 421588904134.

The square root of 431409885124 is 656818.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54904925124 + 376504960000 = 234318^2 + 613600^2 .

It is a super-2 number, since 2×431409885124² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 in 8 ways as a sum of consecutive naturals, for example, 458458494 + ... + 458459434.

Almost surely, 2^431409885124 is an apocalyptic number.

431409885124 is the 656818-th square number.

It is an amenable number.

431409885124 is a deficient number, since it is larger than the sum of its proper divisors (326532305987).

431409885124 is an frugal number, since it uses more digits than its factorization.

431409885124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 431409885124 by its sum of digits (49), we get a square (21139084371076 = 4597726²).

The spelling of 431409885124 in words is "four hundred thirty-one billion, four hundred nine million, eight hundred eighty-five thousand, one hundred twenty-four".