4248578880 has 1008 divisors, whose sum is σ = 19143146880. Its totient is φ = 845365248.

The previous prime is 4248578857. The next prime is 4248578881. The reversal of 4248578880 is 888758424.

4248578880 is a `hidden beast` number, since 4 + 2 + 485 + 7 + 88 + 80 = 666.

4248578880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248578881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98804139 + ... + 98804181.

Almost surely, 2^4248578880 is an apocalyptic number.

4248578880 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 4248578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571573440).

4248578880 is an abundant number, since it is smaller than the sum of its proper divisors (14894568000).

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

4248578880 is a wasteful number, since it uses less digits than its factorization.

4248578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The square root of 4248578880 is about 65181.1236478783. The cubic root of 4248578880 is about 1619.6253363106.

The spelling of 4248578880 in words is "four billion, two hundred forty-eight million, five hundred seventy-eight thousand, eight hundred eighty".