4600444464 has 640 divisors, whose sum is σ = 17998848000. Its totient is φ = 1088640000.

The previous prime is 4600444399. The next prime is 4600444481. The reversal of 4600444464 is 4644440064.

4600444464 is a `hidden beast` number, since 4 + 600 + 4 + 4 + 4 + 46 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18328339 + ... + 18328589.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 2^4600444464 is an apocalyptic number.

4600444464 is a gapful number since it is divisible by the number (44) 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 4600444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424000).

4600444464 is an abundant number, since it is smaller than the sum of its proper divisors (13398403536).

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

4600444464 is a wasteful number, since it uses less digits than its factorization.

4600444464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4600444464 is about 67826.5763841873. The cubic root of 4600444464 is about 1663.1570615819.

The spelling of 4600444464 in words is "four billion, six hundred million, four hundred forty-four thousand, four hundred sixty-four".