4464605952 has 252 divisors, whose sum is σ = 13672643040. Its totient is φ = 1453676544.

The previous prime is 4464605897. The next prime is 4464605953. The reversal of 4464605952 is 2595064644.

It is a junction number, because it is equal to n+sod(n) for n = 4464605898 and 4464605907.

It is not an unprimeable number, because it can be changed into a prime (4464605953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8771074 + ... + 8771582.

It is an arithmetic number, because the mean of its divisors is an integer number (54256520).

Almost surely, 2^4464605952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836321520).

4464605952 is an abundant number, since it is smaller than the sum of its proper divisors (9208037088).

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

4464605952 is an frugal number, since it uses more digits than its factorization.

4464605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4464605952 is about 66817.7068747499. The cubic root of 4464605952 is about 1646.6237606950.

The spelling of 4464605952 in words is "four billion, four hundred sixty-four million, six hundred five thousand, nine hundred fifty-two".