4480717824 has 264 divisors, whose sum is σ = 14645842848. Its totient is φ = 1356963840.

The previous prime is 4480717793. The next prime is 4480717847. The reversal of 4480717824 is 4287170844.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×4480717824² = 40153664436622589952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4480717824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736334 + ... + 2737970.

Almost surely, 2^4480717824 is an apocalyptic number.

4480717824 is a gapful number since it is divisible by the number (44) 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 4480717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322921424).

4480717824 is an abundant number, since it is smaller than the sum of its proper divisors (10165125024).

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

4480717824 is a wasteful number, since it uses less digits than its factorization.

4480717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 4480717824 is about 66938.1641815788. The cubic root of 4480717824 is about 1648.6021615755.

The spelling of 4480717824 in words is "four billion, four hundred eighty million, seven hundred seventeen thousand, eight hundred twenty-four".