4565484000 has 1152 divisors, whose sum is σ = 21292637184. Its totient is φ = 933120000.

The previous prime is 4565483981. The next prime is 4565484017. The reversal of 4565484000 is 4845654.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74843970 + ... + 74844030.

It is an arithmetic number, because the mean of its divisors is an integer number (18483192).

It is a vampire number, since it can be written as 54000 ⋅ 84546 (with its own digits).

Almost surely, 2^4565484000 is an apocalyptic number.

4565484000 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 4565484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646318592).

4565484000 is an abundant number, since it is smaller than the sum of its proper divisors (16727153184).

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

4565484000 is a wasteful number, since it uses less digits than its factorization.

4565484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4565484000 is about 67568.3653790737. The cubic root of 4565484000 is about 1658.9333642290.

The spelling of 4565484000 in words is "four billion, five hundred sixty-five million, four hundred eighty-four thousand".