4490960760 has 512 divisors, whose sum is σ = 17853696000. Its totient is φ = 1002170880.

The previous prime is 4490960743. The next prime is 4490960791. The reversal of 4490960760 is 670690944.

4490960760 is a `hidden beast` number, since 4 + 490 + 96 + 0 + 76 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12509461 + ... + 12509819.

It is an arithmetic number, because the mean of its divisors is an integer number (34870500).

Almost surely, 2^4490960760 is an apocalyptic number.

4490960760 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 4490960760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926848000).

4490960760 is an abundant number, since it is smaller than the sum of its proper divisors (13362735240).

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

4490960760 is a wasteful number, since it uses less digits than its factorization.

4490960760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4490960760 is about 67014.6309398179. The cubic root of 4490960760 is about 1649.8574422290.

The spelling of 4490960760 in words is "four billion, four hundred ninety million, nine hundred sixty thousand, seven hundred sixty".