4628904 has 64 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1297344.

The previous prime is 4628891. The next prime is 4628917. The reversal of 4628904 is 4098264.

It is an interprime number because it is at equal distance from previous prime (4628891) and next prime (4628917).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9679 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^4628904 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 4628904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

4628904 is an abundant number, since it is smaller than the sum of its proper divisors (8849496).

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

4628904 is a wasteful number, since it uses less digits than its factorization.

4628904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4628904 is about 2151.4887868636. The cubic root of 4628904 is about 166.6579586561.

The spelling of 4628904 in words is "four million, six hundred twenty-eight thousand, nine hundred four".