4460379984 has 30 divisors (see below), whose sum is σ = 12482869386. Its totient is φ = 1486793280.

The previous prime is 4460379983. The next prime is 4460379991. The reversal of 4460379984 is 4899730644.

It is a happy number.

4460379984 is a `hidden beast` number, since 446 + 0 + 37 + 99 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2325939984 + 2134440000 = 48228^2 + 46200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4460379984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4460379983) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15487287 + ... + 15487574.

Almost surely, 2^4460379984 is an apocalyptic number.

It is an amenable number.

4460379984 is an abundant number, since it is smaller than the sum of its proper divisors (8022489402).

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

4460379984 is a wasteful number, since it uses less digits than its factorization.

4460379984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30974875 (or 30974866 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4460379984 is about 66786.0762734269. The cubic root of 4460379984 is about 1646.1040600319.

The spelling of 4460379984 in words is "four billion, four hundred sixty million, three hundred seventy-nine thousand, nine hundred eighty-four".