431111400 has 96 divisors (see below), whose sum is σ = 1358469600. Its totient is φ = 113068800.

The previous prime is 431111399. The next prime is 431111413. The reversal of 431111400 is 4111134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 431111400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30711 + ... + 42489.

It is an arithmetic number, because the mean of its divisors is an integer number (14150725).

Almost surely, 2^431111400 is an apocalyptic number.

431111400 is a gapful number since it is divisible by the number (40) 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 431111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679234800).

431111400 is an abundant number, since it is smaller than the sum of its proper divisors (927358200).

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

431111400 is a wasteful number, since it uses less digits than its factorization.

431111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 431111400 is about 20763.2222932762. Note that the first 4 decimals coincide. The cubic root of 431111400 is about 755.4339566260.

Adding to 431111400 its reverse (4111134), we get a palindrome (435222534).

The spelling of 431111400 in words is "four hundred thirty-one million, one hundred eleven thousand, four hundred".