431920188 has 120 divisors (see below), whose sum is σ = 1299718112. Its totient is φ = 122518656.

The previous prime is 431920109. The next prime is 431920189. The reversal of 431920188 is 881029134.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431920189) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355470 + ... + 356682.

Almost surely, 2^431920188 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 431920188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649859056).

431920188 is an abundant number, since it is smaller than the sum of its proper divisors (867797924).

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

431920188 is a wasteful number, since it uses less digits than its factorization.

431920188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 431920188 is about 20782.6896238191. The cubic root of 431920188 is about 755.9060729869.

The spelling of 431920188 in words is "four hundred thirty-one million, nine hundred twenty thousand, one hundred eighty-eight".