4594490880 has 480 divisors, whose sum is σ = 17717214240. Its totient is φ = 1011548160.

The previous prime is 4594490867. The next prime is 4594490917. The reversal of 4594490880 is 880944954.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4594490880² = 42218692892806348800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10913070 + ... + 10913490.

It is an arithmetic number, because the mean of its divisors is an integer number (36910863).

Almost surely, 2^4594490880 is an apocalyptic number.

4594490880 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 4594490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858607120).

4594490880 is an abundant number, since it is smaller than the sum of its proper divisors (13122723360).

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

4594490880 is a wasteful number, since it uses less digits than its factorization.

4594490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4594490880 is about 67782.6738923746. The cubic root of 4594490880 is about 1662.4393034165.

The spelling of 4594490880 in words is "four billion, five hundred ninety-four million, four hundred ninety thousand, eight hundred eighty".