431225040 has 80 divisors (see below), whose sum is σ = 1343664000. Its totient is φ = 114402816.

The previous prime is 431225033. The next prime is 431225051. The reversal of 431225040 is 40522134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 431224998 and 431225016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43246 + ... + 52274.

It is an arithmetic number, because the mean of its divisors is an integer number (16795800).

Almost surely, 2^431225040 is an apocalyptic number.

431225040 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 431225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671832000).

431225040 is an abundant number, since it is smaller than the sum of its proper divisors (912438960).

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

431225040 is a wasteful number, since it uses less digits than its factorization.

431225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 431225040 is about 20765.9586824206. The cubic root of 431225040 is about 755.5003276946.

Adding to 431225040 its reverse (40522134), we get a palindrome (471747174).

The spelling of 431225040 in words is "four hundred thirty-one million, two hundred twenty-five thousand, forty".