4450914432 has 288 divisors, whose sum is σ = 14105391300. Its totient is φ = 1345290240.

The previous prime is 4450914409. The next prime is 4450914467. The reversal of 4450914432 is 2344190544.

4450914432 is a `hidden beast` number, since 4 + 4 + 509 + 144 + 3 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3156641856 + 1294272576 = 56184^2 + 35976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9654682 + ... + 9655142.

Almost surely, 2^4450914432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052695650).

4450914432 is an abundant number, since it is smaller than the sum of its proper divisors (9654476868).

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

4450914432 is a wasteful number, since it uses less digits than its factorization.

4450914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4450914432 is about 66715.1739261766. The cubic root of 4450914432 is about 1644.9388141308.

The spelling of 4450914432 in words is "four billion, four hundred fifty million, nine hundred fourteen thousand, four hundred thirty-two".