3000466440 has 384 divisors, whose sum is σ = 10638950400. Its totient is φ = 731566080.

The previous prime is 3000466421. The next prime is 3000466451. The reversal of 3000466440 is 446640003.

It is a happy number.

3000466440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23625657 + ... + 23625783.

It is an arithmetic number, because the mean of its divisors is an integer number (27705600).

Almost surely, 2^3000466440 is an apocalyptic number.

3000466440 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 3000466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319475200).

3000466440 is an abundant number, since it is smaller than the sum of its proper divisors (7638483960).

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

3000466440 is a wasteful number, since it uses less digits than its factorization.

3000466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3000466440 is about 54776.5135801832. The cubic root of 3000466440 is about 1442.3243134216.

The spelling of 3000466440 in words is "three billion, four hundred sixty-six thousand, four hundred forty".