4590362880 has 288 divisors, whose sum is σ = 16379798400. Its totient is φ = 1217323008.

The previous prime is 4590362873. The next prime is 4590362923. The reversal of 4590362880 is 882630954.

4590362880 is a `hidden beast` number, since 4 + 590 + 36 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10955311 + ... + 10955729.

It is an arithmetic number, because the mean of its divisors is an integer number (56874300).

Almost surely, 2^4590362880 is an apocalyptic number.

4590362880 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 4590362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189899200).

4590362880 is an abundant number, since it is smaller than the sum of its proper divisors (11789435520).

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

4590362880 is a wasteful number, since it uses less digits than its factorization.

4590362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4590362880 is about 67752.2167903014. The cubic root of 4590362880 is about 1661.9412717587.

The spelling of 4590362880 in words is "four billion, five hundred ninety million, three hundred sixty-two thousand, eight hundred eighty".