4464746832 has 160 divisors (see below), whose sum is σ = 14236588800. Its totient is φ = 1174118400.

The previous prime is 4464746813. The next prime is 4464746833. The reversal of 4464746832 is 2386474644.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464746833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750294 + ... + 1752842.

It is an arithmetic number, because the mean of its divisors is an integer number (88978680).

Almost surely, 2^4464746832 is an apocalyptic number.

4464746832 is a gapful number since it is divisible by the number (42) 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 4464746832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118294400).

4464746832 is an abundant number, since it is smaller than the sum of its proper divisors (9771841968).

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

4464746832 is a wasteful number, since it uses less digits than its factorization.

4464746832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2975 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 48.

The square root of 4464746832 is about 66818.7610780086. The cubic root of 4464746832 is about 1646.6410801716.

The spelling of 4464746832 in words is "four billion, four hundred sixty-four million, seven hundred forty-six thousand, eight hundred thirty-two".