463006440 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 104509440.

The previous prime is 463006417. The next prime is 463006469. The reversal of 463006440 is 44600364.

It is a happy number.

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, 3645657 + ... + 3645783.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^463006440 is an apocalyptic number.

463006440 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 463006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

463006440 is an abundant number, since it is smaller than the sum of its proper divisors (1298171160).

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

463006440 is a wasteful number, since it uses less digits than its factorization.

463006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

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

The square root of 463006440 is about 21517.5844369204. The cubic root of 463006440 is about 773.6223544810.

The spelling of 463006440 in words is "four hundred sixty-three million, six thousand, four hundred forty".