4257865248 has 192 divisors, whose sum is σ = 14354952192. Its totient is φ = 1074078720.

The previous prime is 4257865217. The next prime is 4257865253. The reversal of 4257865248 is 8425687524.

It is a super-2 number, since 2×4257865248² = 36258832940252203008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4257865248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190333 + ... + 211523.

It is an arithmetic number, because the mean of its divisors is an integer number (74765376).

Almost surely, 2^4257865248 is an apocalyptic number.

4257865248 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 4257865248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177476096).

4257865248 is an abundant number, since it is smaller than the sum of its proper divisors (10097086944).

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

4257865248 is a wasteful number, since it uses less digits than its factorization.

4257865248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21247 (or 21239 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 51.

The square root of 4257865248 is about 65252.3198668063. The cubic root of 4257865248 is about 1620.8045142861.

The spelling of 4257865248 in words is "four billion, two hundred fifty-seven million, eight hundred sixty-five thousand, two hundred forty-eight".