431917920 has 504 divisors, whose sum is σ = 1827793296. Its totient is φ = 94431744.

The previous prime is 431917919. The next prime is 431917949. The reversal of 431917920 is 29719134.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18779029 + ... + 18779051.

It is an arithmetic number, because the mean of its divisors is an integer number (3626574).

Almost surely, 2^431917920 is an apocalyptic number.

431917920 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 431917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913896648).

431917920 is an abundant number, since it is smaller than the sum of its proper divisors (1395875376).

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

431917920 is an equidigital number, since it uses as much as digits as its factorization.

431917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 431917920 is about 20782.6350591064. The cubic root of 431917920 is about 755.9047499045.

The spelling of 431917920 in words is "four hundred thirty-one million, nine hundred seventeen thousand, nine hundred twenty".