4248284800 has 96 divisors (see below), whose sum is σ = 10571198400. Its totient is φ = 1686912000.

The previous prime is 4248284773. The next prime is 4248284813. The reversal of 4248284800 is 84828424.

It is a super-2 number, since 2×4248284800² = 36095847483822080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440025 + ... + 449575.

It is an arithmetic number, because the mean of its divisors is an integer number (110116650).

Almost surely, 2^4248284800 is an apocalyptic number.

4248284800 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 4248284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285599200).

4248284800 is an abundant number, since it is smaller than the sum of its proper divisors (6322913600).

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

4248284800 is a wasteful number, since it uses less digits than its factorization.

4248284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 4248284800 is about 65178.8677410094. The cubic root of 4248284800 is about 1619.5879661356.

The spelling of 4248284800 in words is "four billion, two hundred forty-eight million, two hundred eighty-four thousand, eight hundred".