431434120 has 64 divisors (see below), whose sum is σ = 1047816000. Its totient is φ = 158930688.

The previous prime is 431434079. The next prime is 431434123. The reversal of 431434120 is 21434134.

It is a super-2 number, since 2×431434120² = 372270799800348800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431434091 and 431434100.

It is not an unprimeable number, because it can be changed into a prime (431434123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342051 + ... + 343309.

It is an arithmetic number, because the mean of its divisors is an integer number (16372125).

Almost surely, 2^431434120 is an apocalyptic number.

431434120 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 431434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523908000).

431434120 is an abundant number, since it is smaller than the sum of its proper divisors (616381880).

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

431434120 is a wasteful number, since it uses less digits than its factorization.

431434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 431434120 is about 20770.9922728790. The cubic root of 431434120 is about 755.6224097258.

Adding to 431434120 its reverse (21434134), we get a palindrome (452868254).

The spelling of 431434120 in words is "four hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty".