431467344 has 480 divisors, whose sum is σ = 1679356800. Its totient is φ = 104509440.

The previous prime is 431467343. The next prime is 431467403. The reversal of 431467344 is 443764134.

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.

Its product of digits (96768) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 431467299 and 431467308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431467343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3958362 + ... + 3958470.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2^431467344 is an apocalyptic number.

431467344 is a gapful number since it is divisible by the number (44) 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 431467344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839678400).

431467344 is an abundant number, since it is smaller than the sum of its proper divisors (1247889456).

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

431467344 is a wasteful number, since it uses less digits than its factorization.

431467344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 431467344 is about 20771.7920266885. The cubic root of 431467344 is about 755.6418056222.

The spelling of 431467344 in words is "four hundred thirty-one million, four hundred sixty-seven thousand, three hundred forty-four".