4280616480 has 576 divisors, whose sum is σ = 16853453568. Its totient is φ = 908328960.

The previous prime is 4280616479. The next prime is 4280616511. The reversal of 4280616480 is 846160824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22179264 + ... + 22179456.

It is an arithmetic number, because the mean of its divisors is an integer number (29259468).

Almost surely, 2^4280616480 is an apocalyptic number.

4280616480 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 4280616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426726784).

4280616480 is an abundant number, since it is smaller than the sum of its proper divisors (12572837088).

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

4280616480 is a wasteful number, since it uses less digits than its factorization.

4280616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4280616480 is about 65426.4203514146. The cubic root of 4280616480 is about 1623.6862255465.

The spelling of 4280616480 in words is "four billion, two hundred eighty million, six hundred sixteen thousand, four hundred eighty".