431123264 has 168 divisors, whose sum is σ = 1074224928. Its totient is φ = 169205760.

The previous prime is 431123261. The next prime is 431123267. The reversal of 431123264 is 462321134.

It is an interprime number because it is at equal distance from previous prime (431123261) and next prime (431123267).

It is a super-3 number, since 3×431123264³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431123261) by changing a digit.

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, 2644847 + ... + 2645009.

It is an arithmetic number, because the mean of its divisors is an integer number (6394196).

Almost surely, 2^431123264 is an apocalyptic number.

431123264 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 431123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537112464).

431123264 is an abundant number, since it is smaller than the sum of its proper divisors (643101664).

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

431123264 is a wasteful number, since it uses less digits than its factorization.

431123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 431123264 is about 20763.5079887768. The cubic root of 431123264 is about 755.4408863014.

Adding to 431123264 its reverse (462321134), we get a palindrome (893444398).

The spelling of 431123264 in words is "four hundred thirty-one million, one hundred twenty-three thousand, two hundred sixty-four".