4487138208 has 240 divisors, whose sum is σ = 15163061760. Its totient is φ = 1275139584.

The previous prime is 4487138207. The next prime is 4487138209. The reversal of 4487138208 is 8028317844.

It is an interprime number because it is at equal distance from previous prime (4487138207) and next prime (4487138209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4487138207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4045558 + ... + 4046666.

It is an arithmetic number, because the mean of its divisors is an integer number (63179424).

Almost surely, 2^4487138208 is an apocalyptic number.

4487138208 is a gapful number since it is divisible by the number (48) 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 4487138208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581530880).

4487138208 is an abundant number, since it is smaller than the sum of its proper divisors (10675923552).

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

4487138208 is a wasteful number, since it uses less digits than its factorization.

4487138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4487138208 is about 66986.1045889370. The cubic root of 4487138208 is about 1649.3892086380.

The spelling of 4487138208 in words is "four billion, four hundred eighty-seven million, one hundred thirty-eight thousand, two hundred eight".