4406754960 has 240 divisors, whose sum is σ = 15967911024. Its totient is φ = 1084981248.

The previous prime is 4406754953. The next prime is 4406754973. The reversal of 4406754960 is 694576044.

4406754960 is a `hidden beast` number, since 4 + 40 + 6 + 7 + 549 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6290064 + 4400464896 = 2508^2 + 66336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645324 + ... + 652116.

Almost surely, 2^4406754960 is an apocalyptic number.

4406754960 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 4406754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983955512).

4406754960 is an abundant number, since it is smaller than the sum of its proper divisors (11561156064).

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

4406754960 is a wasteful number, since it uses less digits than its factorization.

4406754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4406754960 is about 66383.3937065589. The cubic root of 4406754960 is about 1639.4806703847.

The spelling of 4406754960 in words is "four billion, four hundred six million, seven hundred fifty-four thousand, nine hundred sixty".