431137920 has 128 divisors (see below), whose sum is σ = 1380084480. Its totient is φ = 114483200.

The previous prime is 431137891. The next prime is 431137963. The reversal of 431137920 is 29731134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827260 + ... + 827780.

It is an arithmetic number, because the mean of its divisors is an integer number (10781910).

Almost surely, 2^431137920 is an apocalyptic number.

431137920 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 431137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690042240).

431137920 is an abundant number, since it is smaller than the sum of its proper divisors (948946560).

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

431137920 is a wasteful number, since it uses less digits than its factorization.

431137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 431137920 is about 20763.8609126530. The cubic root of 431137920 is about 755.4494465881.

The spelling of 431137920 in words is "four hundred thirty-one million, one hundred thirty-seven thousand, nine hundred twenty".