630300 has 72 divisors (see below), whose sum is σ = 1999872. Its totient is φ = 152000.

The previous prime is 630299. The next prime is 630307. The reversal of 630300 is 3036.

630300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205 + ... + 3395.

It is an arithmetic number, because the mean of its divisors is an integer number (27776).

2⁶³⁰³⁰⁰ is an apocalyptic number.

630300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936).

630300 is an abundant number, since it is smaller than the sum of its proper divisors (1369572).

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

630300 is a wasteful number, since it uses less digits than its factorization.

630300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 630300 is about 793.9143530634. The cubic root of 630300 is about 85.7397939954.

630300 divided by its sum of digits (12) gives a palindrome (52525).

Adding to 630300 its reverse (3036), we get a palindrome (633336).

Subtracting from 630300 its reverse (3036), we obtain a square (627264 = 792²).

The spelling of 630300 in words is "six hundred thirty thousand, three hundred".