4646304 has 144 divisors (see below), whose sum is σ = 15272712. Its totient is φ = 1327104.

The previous prime is 4646297. The next prime is 4646329. The reversal of 4646304 is 4036464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3920400 + 725904 = 1980^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63612 + ... + 63684.

Almost surely, 2^4646304 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 4646304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636356).

4646304 is an abundant number, since it is smaller than the sum of its proper divisors (10626408).

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

4646304 is a wasteful number, since it uses less digits than its factorization.

4646304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4646304 is about 2155.5287054456. The cubic root of 4646304 is about 166.8665193687.

It can be divided in two parts, 4646 and 304, that added together give a triangular number (4950 = T₉₉).

The spelling of 4646304 in words is "four million, six hundred forty-six thousand, three hundred four".