4280448000 has 352 divisors, whose sum is σ = 14530883328. Its totient is φ = 1118208000.

The previous prime is 4280447993. The next prime is 4280448001. The reversal of 4280448000 is 8440824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280448001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27263922 + ... + 27264078.

Almost surely, 2^4280448000 is an apocalyptic number.

4280448000 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 4280448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265441664).

4280448000 is an abundant number, since it is smaller than the sum of its proper divisors (10250435328).

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

4280448000 is a wasteful number, since it uses less digits than its factorization.

4280448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4280448000 is about 65425.1327854977. The cubic root of 4280448000 is about 1623.6649231441.

Adding to 4280448000 its reverse (8440824), we get a palindrome (4288888824).

The spelling of 4280448000 in words is "four billion, two hundred eighty million, four hundred forty-eight thousand".