431715672 has 96 divisors (see below), whose sum is σ = 1217249280. Its totient is φ = 138075840.

The previous prime is 431715659. The next prime is 431715677. The reversal of 431715672 is 276517134.

It is a happy number.

431715672 is a `hidden beast` number, since 431 + 7 + 156 + 72 = 666.

It is a super-3 number, since 3×431715672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431715677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 282703 + ... + 284225.

It is an arithmetic number, because the mean of its divisors is an integer number (12679680).

Almost surely, 2^431715672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431715672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608624640).

431715672 is an abundant number, since it is smaller than the sum of its proper divisors (785533608).

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

431715672 is a wasteful number, since it uses less digits than its factorization.

431715672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1686 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 431715672 is about 20777.7686963735. The cubic root of 431715672 is about 755.7867459310.

The spelling of 431715672 in words is "four hundred thirty-one million, seven hundred fifteen thousand, six hundred seventy-two".