4082284800 has 648 divisors, whose sum is σ = 16902980640. Its totient is φ = 928972800.

The previous prime is 4082284771. The next prime is 4082284807. The reversal of 4082284800 is 84822804.

It is a super-2 number, since 2×4082284800² = 33330098376622080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4082284807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10771011 + ... + 10771389.

Almost surely, 2^4082284800 is an apocalyptic number.

4082284800 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 4082284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451490320).

4082284800 is an abundant number, since it is smaller than the sum of its proper divisors (12820695840).

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

4082284800 is a wasteful number, since it uses less digits than its factorization.

4082284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

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

The square root of 4082284800 is about 63892.7601532443. The cubic root of 4082284800 is about 1598.2121697000.

It can be divided in two parts, 4082 and 284800, that added together give a palindrome (288882).

The spelling of 4082284800 in words is "four billion, eighty-two million, two hundred eighty-four thousand, eight hundred".