431334120 has 128 divisors (see below), whose sum is σ = 1492992000. Its totient is φ = 97648896.

The previous prime is 431334091. The next prime is 431334131. The reversal of 431334120 is 21433134.

It is a super-3 number, since 3×431334120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87481 + ... + 92279.

It is an arithmetic number, because the mean of its divisors is an integer number (11664000).

Almost surely, 2^431334120 is an apocalyptic number.

431334120 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 431334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

431334120 is an abundant number, since it is smaller than the sum of its proper divisors (1061657880).

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

431334120 is a wasteful number, since it uses less digits than its factorization.

431334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 431334120 is about 20768.5849301294. The cubic root of 431334120 is about 755.5640245430.

Adding to 431334120 its reverse (21433134), we get a palindrome (452767254).

The spelling of 431334120 in words is "four hundred thirty-one million, three hundred thirty-four thousand, one hundred twenty".