4404964960 has 96 divisors (see below), whose sum is σ = 11513021184. Its totient is φ = 1579200000.

The previous prime is 4404964939. The next prime is 4404964969. The reversal of 4404964960 is 694694044.

It is a self number, because there is not a number n which added to its sum of digits gives 4404964960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404964969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107335 + ... + 142585.

It is an arithmetic number, because the mean of its divisors is an integer number (119927304).

Almost surely, 2^4404964960 is an apocalyptic number.

4404964960 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 4404964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756510592).

4404964960 is an abundant number, since it is smaller than the sum of its proper divisors (7108056224).

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

4404964960 is a wasteful number, since it uses less digits than its factorization.

4404964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35348 (or 35340 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 4404964960 is about 66369.9100496603. The cubic root of 4404964960 is about 1639.2586575986.

The spelling of 4404964960 in words is "four billion, four hundred four million, nine hundred sixty-four thousand, nine hundred sixty".