4561284000 has 384 divisors, whose sum is σ = 18395500032. Its totient is φ = 962150400.

The previous prime is 4561283971. The next prime is 4561284011. The reversal of 4561284000 is 4821654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089912 + ... + 1094088.

It is an arithmetic number, because the mean of its divisors is an integer number (47904948).

Almost surely, 2^4561284000 is an apocalyptic number.

4561284000 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 4561284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9197750016).

4561284000 is an abundant number, since it is smaller than the sum of its proper divisors (13834216032).

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

4561284000 is a wasteful number, since it uses less digits than its factorization.

4561284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4561284000 is about 67537.2785948620. The cubic root of 4561284000 is about 1658.4244982976.

The spelling of 4561284000 in words is "four billion, five hundred sixty-one million, two hundred eighty-four thousand".