It is a tau number, because it is divible by the number of its divisors (672).
It is a zygodrome in base 12.
It is a congruent number.
It is an unprimeable number.
Almost surely, 2312984000 is an apocalyptic number.
312984000 is a gapful number since it is divisible by the number (30) 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 312984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692310528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312984000 is an equidigital number, since it uses as much as digits as its factorization.
312984000 is an evil number, because the sum of its binary digits is even.
The square root of 312984000 is about 17691.3538204401. The cubic root of 312984000 is about 678.9545642686.
The spelling of 312984000 in words is "three hundred twelve million, nine hundred eighty-four thousand".