431664520 has 96 divisors (see below), whose sum is σ = 1140399000. Its totient is φ = 146614272.

The previous prime is 431664511. The next prime is 431664521. The reversal of 431664520 is 25466134.

It can be written as a sum of positive squares in 4 ways, for example, as 283652964 + 148011556 = 16842^2 + 12166^2 .

It is not an unprimeable number, because it can be changed into a prime (431664521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220506 + ... + 222454.

Almost surely, 2^431664520 is an apocalyptic number.

431664520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570199500).

431664520 is an abundant number, since it is smaller than the sum of its proper divisors (708734480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431664520 is a wasteful number, since it uses less digits than its factorization.

431664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 431664520 is about 20776.5377288902. The cubic root of 431664520 is about 755.7568948560.

The spelling of 431664520 in words is "four hundred thirty-one million, six hundred sixty-four thousand, five hundred twenty".