4590879840 has 144 divisors (see below), whose sum is σ = 15700230000. Its totient is φ = 1221590016.

The previous prime is 4590879823. The next prime is 4590879863. The reversal of 4590879840 is 489780954.

4590879840 is a `hidden beast` number, since 4 + 590 + 8 + 7 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 715366 + ... + 721754.

It is an arithmetic number, because the mean of its divisors is an integer number (109029375).

Almost surely, 2^4590879840 is an apocalyptic number.

4590879840 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 4590879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850115000).

4590879840 is an abundant number, since it is smaller than the sum of its proper divisors (11109350160).

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

4590879840 is a wasteful number, since it uses less digits than its factorization.

4590879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4590879840 is about 67756.0317610174. The cubic root of 4590879840 is about 1662.0036578875.

The spelling of 4590879840 in words is "four billion, five hundred ninety million, eight hundred seventy-nine thousand, eight hundred forty".