4464617920 has 224 divisors, whose sum is σ = 12562978176. Its totient is φ = 1479475200.

The previous prime is 4464617917. The next prime is 4464617957. The reversal of 4464617920 is 297164644.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 15888180 + ... + 15888460.

It is an arithmetic number, because the mean of its divisors is an integer number (56084724).

Almost surely, 2^4464617920 is an apocalyptic number.

4464617920 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 4464617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281489088).

4464617920 is an abundant number, since it is smaller than the sum of its proper divisors (8098360256).

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

4464617920 is a wasteful number, since it uses less digits than its factorization.

4464617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 4464617920 is about 66817.7964317890. The cubic root of 4464617920 is about 1646.6252320287.

The spelling of 4464617920 in words is "four billion, four hundred sixty-four million, six hundred seventeen thousand, nine hundred twenty".