4280480000 has 180 divisors, whose sum is σ = 11034067968. Its totient is φ = 1655040000.

The previous prime is 4280479981. The next prime is 4280480023. The reversal of 4280480000 is 840824.

It is a super-3 number, since 3×4280480000³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4959569 + ... + 4960431.

Almost surely, 2^4280480000 is an apocalyptic number.

4280480000 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 4280480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517033984).

4280480000 is an abundant number, since it is smaller than the sum of its proper divisors (6753587968).

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

4280480000 is an frugal number, since it uses more digits than its factorization.

4280480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4280480000 is about 65425.3773393780. The cubic root of 4280480000 is about 1623.6689692275.

The spelling of 4280480000 in words is "four billion, two hundred eighty million, four hundred eighty thousand".