4463464320 has 384 divisors, whose sum is σ = 18188052480. Its totient is φ = 987033600.

The previous prime is 4463464319. The next prime is 4463464321. The reversal of 4463464320 is 234643644.

4463464320 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 4 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4463464319) and next prime (4463464321).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4463464321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248135 + ... + 1251705.

It is an arithmetic number, because the mean of its divisors is an integer number (47364720).

Almost surely, 2^4463464320 is an apocalyptic number.

4463464320 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 4463464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094026240).

4463464320 is an abundant number, since it is smaller than the sum of its proper divisors (13724588160).

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

4463464320 is a wasteful number, since it uses less digits than its factorization.

4463464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 4463464320 is about 66809.1634433481. The cubic root of 4463464320 is about 1646.4833975327.

The spelling of 4463464320 in words is "four billion, four hundred sixty-three million, four hundred sixty-four thousand, three hundred twenty".