4082800248 has 64 divisors (see below), whose sum is σ = 11381356800. Its totient is φ = 1356104160.

The previous prime is 4082800207. The next prime is 4082800273. The reversal of 4082800248 is 8420082804.

4082800248 is a `hidden beast` number, since 408 + 2 + 8 + 0 + 0 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27733 + ... + 94523.

It is an arithmetic number, because the mean of its divisors is an integer number (177833700).

Almost surely, 2^4082800248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082800248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690678400).

4082800248 is an abundant number, since it is smaller than the sum of its proper divisors (7298556552).

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

4082800248 is a wasteful number, since it uses less digits than its factorization.

4082800248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67089 (or 67079 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4082800248 is about 63896.7937223770. The cubic root of 4082800248 is about 1598.2794327351.

The spelling of 4082800248 in words is "four billion, eighty-two million, eight hundred thousand, two hundred forty-eight".