4686464 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 2119680.

The previous prime is 4686463. The next prime is 4686467. The reversal of 4686464 is 4646864.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4686463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99689 + ... + 99735.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^4686464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

4686464 is an abundant number, since it is smaller than the sum of its proper divisors (5595136).

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

4686464 is a wasteful number, since it uses less digits than its factorization.

4686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 4686464 is about 2164.8242422885. The cubic root of 4686464 is about 167.3459071448.

The spelling of 4686464 in words is "four million, six hundred eighty-six thousand, four hundred sixty-four".