431928000 has 336 divisors, whose sum is σ = 1767864384. Its totient is φ = 98611200.

The previous prime is 431927981. The next prime is 431928019. The reversal of 431928000 is 829134.

It is an interprime number because it is at equal distance from previous prime (431927981) and next prime (431928019).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503572 + ... + 504428.

Almost surely, 2^431928000 is an apocalyptic number.

431928000 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 431928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883932192).

431928000 is an abundant number, since it is smaller than the sum of its proper divisors (1335936384).

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

431928000 is a wasteful number, since it uses less digits than its factorization.

431928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 431928000 is about 20782.8775678442. The cubic root of 431928000 is about 755.9106302352.

The spelling of 431928000 in words is "four hundred thirty-one million, nine hundred twenty-eight thousand".