431387712 has 168 divisors, whose sum is σ = 1428999936. Its totient is φ = 121872384.

The previous prime is 431387707. The next prime is 431387753. The reversal of 431387712 is 217783134.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390553 + ... + 391655.

It is an arithmetic number, because the mean of its divisors is an integer number (8505952).

Almost surely, 2^431387712 is an apocalyptic number.

431387712 is a gapful number since it is divisible by the number (42) 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 431387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714499968).

431387712 is an abundant number, since it is smaller than the sum of its proper divisors (997612224).

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

431387712 is a wasteful number, since it uses less digits than its factorization.

431387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 431387712 is about 20769.8751079538. The cubic root of 431387712 is about 755.5953154522.

The spelling of 431387712 in words is "four hundred thirty-one million, three hundred eighty-seven thousand, seven hundred twelve".