4406530464 has 384 divisors, whose sum is σ = 15973171200. Its totient is φ = 1153336320.

The previous prime is 4406530411. The next prime is 4406530487. The reversal of 4406530464 is 4640356044.

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 63 ways as a sum of consecutive naturals, for example, 3561654 + ... + 3562890.

It is an arithmetic number, because the mean of its divisors is an integer number (41596800).

Almost surely, 2^4406530464 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 4406530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986585600).

4406530464 is an abundant number, since it is smaller than the sum of its proper divisors (11566640736).

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

4406530464 is a wasteful number, since it uses less digits than its factorization.

4406530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4406530464 is about 66381.7027802089. The cubic root of 4406530464 is about 1639.4528295581.

It can be divided in two parts, 44065 and 30464, that added together give a square (74529 = 273²).

The spelling of 4406530464 in words is "four billion, four hundred six million, five hundred thirty thousand, four hundred sixty-four".