4298773248 has 576 divisors, whose sum is σ = 16317987840. Its totient is φ = 1083801600.

The previous prime is 4298773201. The next prime is 4298773277. The reversal of 4298773248 is 8423778924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4298773194 and 4298773203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21821086 + ... + 21821282.

It is an arithmetic number, because the mean of its divisors is an integer number (28329840).

Almost surely, 2^4298773248 is an apocalyptic number.

4298773248 is a gapful number since it is divisible by the number (48) 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 4298773248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

4298773248 is an abundant number, since it is smaller than the sum of its proper divisors (12019214592).

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

4298773248 is a wasteful number, since it uses less digits than its factorization.

4298773248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4298773248 is about 65565.0306794712. The cubic root of 4298773248 is about 1625.9786764813.

The spelling of 4298773248 in words is "four billion, two hundred ninety-eight million, seven hundred seventy-three thousand, two hundred forty-eight".