312444000 has 384 divisors, whose sum is σ = 1245404160. Its totient is φ = 75456000.

The previous prime is 312443993. The next prime is 312444001. The reversal of 312444000 is 444213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312444001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187869 + ... + 1188131.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^312444000 is an apocalyptic number.

312444000 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 312444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

312444000 is an abundant number, since it is smaller than the sum of its proper divisors (932960160).

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

312444000 is a wasteful number, since it uses less digits than its factorization.

312444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 312444000 is about 17676.0855395079. The cubic root of 312444000 is about 678.5638664241.

Adding to 312444000 its reverse (444213), we get a palindrome (312888213).

The spelling of 312444000 in words is "three hundred twelve million, four hundred forty-four thousand".