4487945280 has 672 divisors, whose sum is σ = 18388218240. Its totient is φ = 918650880.

The previous prime is 4487945261. The next prime is 4487945309. The reversal of 4487945280 is 825497844.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×4487945280³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25072231 + ... + 25072409.

It is an arithmetic number, because the mean of its divisors is an integer number (27363420).

Almost surely, 2^4487945280 is an apocalyptic number.

4487945280 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 4487945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194109120).

4487945280 is an abundant number, since it is smaller than the sum of its proper divisors (13900272960).

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

4487945280 is a wasteful number, since it uses less digits than its factorization.

4487945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 4487945280 is about 66992.1284928312. The cubic root of 4487945280 is about 1649.4880909682.

The spelling of 4487945280 in words is "four billion, four hundred eighty-seven million, nine hundred forty-five thousand, two hundred eighty".