4605705984 has 144 divisors (see below), whose sum is σ = 13422898944. Its totient is φ = 1390387200.

The previous prime is 4605705983. The next prime is 4605706003. The reversal of 4605705984 is 4895075064.

It is a super-2 number, since 2×4605705984² = 42425055222106816512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605705983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626452 + ... + 2628204.

It is an arithmetic number, because the mean of its divisors is an integer number (93214576).

Almost surely, 2^4605705984 is an apocalyptic number.

4605705984 is a gapful number since it is divisible by the number (44) 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 4605705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711449472).

4605705984 is an abundant number, since it is smaller than the sum of its proper divisors (8817192960).

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

4605705984 is a wasteful number, since it uses less digits than its factorization.

4605705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 4605705984 is about 67865.3518667663. The cubic root of 4605705984 is about 1663.7908699210.

The spelling of 4605705984 in words is "four billion, six hundred five million, seven hundred five thousand, nine hundred eighty-four".