4480920000 has 420 divisors, whose sum is σ = 16680079416. Its totient is φ = 1192320000.

The previous prime is 4480919969. The next prime is 4480920011. The reversal of 4480920000 is 290844.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 9719770 + ... + 9720230.

Almost surely, 2^4480920000 is an apocalyptic number.

4480920000 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 4480920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340039708).

4480920000 is an abundant number, since it is smaller than the sum of its proper divisors (12199159416).

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

4480920000 is an frugal number, since it uses more digits than its factorization.

4480920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4480920000 is about 66939.6743344334. The cubic root of 4480920000 is about 1648.6269569164.

The spelling of 4480920000 in words is "four billion, four hundred eighty million, nine hundred twenty thousand".