4248780800 has 360 divisors, whose sum is σ = 12286838592. Its totient is φ = 1441792000.

The previous prime is 4248780799. The next prime is 4248780803. The reversal of 4248780800 is 80878424.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248780803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103628780 + ... + 103628820.

Almost surely, 2^4248780800 is an apocalyptic number.

4248780800 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 4248780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143419296).

4248780800 is an abundant number, since it is smaller than the sum of its proper divisors (8038057792).

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

4248780800 is a wasteful number, since it uses less digits than its factorization.

4248780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 4248780800 is about 65182.6725441662. The cubic root of 4248780800 is about 1619.6509942679.

The spelling of 4248780800 in words is "four billion, two hundred forty-eight million, seven hundred eighty thousand, eight hundred".