4496916480 has 256 divisors, whose sum is σ = 16458197760. Its totient is φ = 1027080192.

The previous prime is 4496916467. The next prime is 4496916481. The reversal of 4496916480 is 846196944.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4496916481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3439987 + ... + 3441293.

It is an arithmetic number, because the mean of its divisors is an integer number (64289835).

Almost surely, 2^4496916480 is an apocalyptic number.

4496916480 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 4496916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229098880).

4496916480 is an abundant number, since it is smaller than the sum of its proper divisors (11961281280).

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

4496916480 is an equidigital number, since it uses as much as digits as its factorization.

4496916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 4496916480 is about 67059.0521853687. The cubic root of 4496916480 is about 1650.5864435157.

The spelling of 4496916480 in words is "four billion, four hundred ninety-six million, nine hundred sixteen thousand, four hundred eighty".