4806464 has 56 divisors (see below), whose sum is σ = 10561320. Its totient is φ = 2156544.

The previous prime is 4806463. The next prime is 4806469. The reversal of 4806464 is 4646084.

It can be written as a sum of positive squares in 4 ways, for example, as 774400 + 4032064 = 880^2 + 2008^2 .

It is a super-3 number, since 3×4806464³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4806464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44042 + ... + 44150.

It is an arithmetic number, because the mean of its divisors is an integer number (188595).

Almost surely, 2^4806464 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 4806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280660).

4806464 is an abundant number, since it is smaller than the sum of its proper divisors (5754856).

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

4806464 is a wasteful number, since it uses less digits than its factorization.

4806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4806464 is about 2192.3649331259. The cubic root of 4806464 is about 168.7622206056.

The spelling of 4806464 in words is "four million, eight hundred six thousand, four hundred sixty-four".