431568 has 70 divisors (see below), whose sum is σ = 1287554. Its totient is φ = 139968.

The previous prime is 431567. The next prime is 431581. The reversal of 431568 is 865134.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 11664 = 648^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431567) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11646 + ... + 11682.

2⁴³¹⁵⁶⁸ is an apocalyptic number.

431568 is a gapful number since it is divisible by the number (48) 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 431568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643777).

431568 is an abundant number, since it is smaller than the sum of its proper divisors (855986).

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

431568 is an equidigital number, since it uses as much as digits as its factorization.

431568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 431568 is about 656.9383532722. The cubic root of 431568 is about 75.5700561686.

It can be divided in two parts, 431 and 568, that added together give a palindrome (999).

The spelling of 431568 in words is "four hundred thirty-one thousand, five hundred sixty-eight".