4460970240 has 288 divisors, whose sum is σ = 16379798400. Its totient is φ = 1148313600.

The previous prime is 4460970223. The next prime is 4460970247. The reversal of 4460970240 is 420790644.

4460970240 is a `hidden beast` number, since 4 + 4 + 609 + 7 + 0 + 2 + 40 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 4460970195 and 4460970204.

It is not an unprimeable number, because it can be changed into a prime (4460970247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000015 + ... + 1004465.

It is an arithmetic number, because the mean of its divisors is an integer number (56874300).

Almost surely, 2^4460970240 is an apocalyptic number.

4460970240 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 4460970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189899200).

4460970240 is an abundant number, since it is smaller than the sum of its proper divisors (11918828160).

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

4460970240 is a wasteful number, since it uses less digits than its factorization.

4460970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4460970240 is about 66790.4951321668. The cubic root of 4460970240 is about 1646.1766681912.

The spelling of 4460970240 in words is "four billion, four hundred sixty million, nine hundred seventy thousand, two hundred forty".