4459974960 has 320 divisors, whose sum is σ = 16878919680. Its totient is φ = 952197120.

The previous prime is 4459974913. The next prime is 4459974971. The reversal of 4459974960 is 694799544.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4459974960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508844 + ... + 1511796.

It is an arithmetic number, because the mean of its divisors is an integer number (52746624).

Almost surely, 2^4459974960 is an apocalyptic number.

4459974960 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 4459974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439459840).

4459974960 is an abundant number, since it is smaller than the sum of its proper divisors (12418944720).

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

4459974960 is a wasteful number, since it uses less digits than its factorization.

4459974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 4459974960 is about 66783.0439557827. The cubic root of 4459974960 is about 1646.0542337962.

The spelling of 4459974960 in words is "four billion, four hundred fifty-nine million, nine hundred seventy-four thousand, nine hundred sixty".