431345556 has 144 divisors (see below), whose sum is σ = 1215998784. Its totient is φ = 128314368.

The previous prime is 431345533. The next prime is 431345561. The reversal of 431345556 is 655543134.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 431345556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973471 + ... + 973913.

It is an arithmetic number, because the mean of its divisors is an integer number (8444436).

Almost surely, 2^431345556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431345556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607999392).

431345556 is an abundant number, since it is smaller than the sum of its proper divisors (784653228).

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

431345556 is a wasteful number, since it uses less digits than its factorization.

431345556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 431345556 is about 20768.8602479770. The cubic root of 431345556 is about 755.5707019295.

The spelling of 431345556 in words is "four hundred thirty-one million, three hundred forty-five thousand, five hundred fifty-six".