4465332480 has 288 divisors, whose sum is σ = 16383919104. Its totient is φ = 1015308288.

The previous prime is 4465332479. The next prime is 4465332491. The reversal of 4465332480 is 842335644.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7606747 + ... + 7607333.

It is an arithmetic number, because the mean of its divisors is an integer number (56888608).

Almost surely, 2^4465332480 is an apocalyptic number.

4465332480 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 4465332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191959552).

4465332480 is an abundant number, since it is smaller than the sum of its proper divisors (11918586624).

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

4465332480 is a wasteful number, since it uses less digits than its factorization.

4465332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 4465332480 is about 66823.1432963161. The cubic root of 4465332480 is about 1646.7130745406.

The spelling of 4465332480 in words is "four billion, four hundred sixty-five million, three hundred thirty-two thousand, four hundred eighty".