4480634880 has 520 divisors, whose sum is σ = 16722024792. Its totient is φ = 1146617856.

The previous prime is 4480634861. The next prime is 4480634881. The reversal of 4480634880 is 884360844.

4480634880 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 634 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1358954496 + 3121680384 = 36864^2 + 55872^2 .

It is a super-2 number, since 2×4480634880² = 40152177855745228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4480634881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61378524 + ... + 61378596.

Almost surely, 2^4480634880 is an apocalyptic number.

4480634880 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 4480634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361012396).

4480634880 is an abundant number, since it is smaller than the sum of its proper divisors (12241389912).

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

4480634880 is an equidigital number, since it uses as much as digits as its factorization.

4480634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4480634880 is about 66937.5446218339. The cubic root of 4480634880 is about 1648.5919889122.

The spelling of 4480634880 in words is "four billion, four hundred eighty million, six hundred thirty-four thousand, eight hundred eighty".