4628300 has 36 divisors (see below), whose sum is σ = 10374336. Its totient is φ = 1790400.

The previous prime is 4628297. The next prime is 4628311. The reversal of 4628300 is 38264.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2354 + ... + 3846.

It is an arithmetic number, because the mean of its divisors is an integer number (288176).

Almost surely, 2^4628300 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 4628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187168).

4628300 is an abundant number, since it is smaller than the sum of its proper divisors (5746036).

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

4628300 is a wasteful number, since it uses less digits than its factorization.

4628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4628300 is about 2151.3484143671. The cubic root of 4628300 is about 166.6507095834.

The spelling of 4628300 in words is "four million, six hundred twenty-eight thousand, three hundred".