431312000 has 128 divisors (see below), whose sum is σ = 1225860480. Its totient is φ = 147840000.

The previous prime is 431311987. The next prime is 431312023. The reversal of 431312000 is 213134.

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 (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110075 + ... + 113925.

It is an arithmetic number, because the mean of its divisors is an integer number (9577035).

Almost surely, 2^431312000 is an apocalyptic number.

431312000 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 431312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612930240).

431312000 is an abundant number, since it is smaller than the sum of its proper divisors (794548480).

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

431312000 is an equidigital number, since it uses as much as digits as its factorization.

431312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 431312000 is about 20768.0523882236. The cubic root of 431312000 is about 755.5511085218.

Adding to 431312000 its reverse (213134), we get a palindrome (431525134).

The spelling of 431312000 in words is "four hundred thirty-one million, three hundred twelve thousand".