630314800 has 60 divisors (see below), whose sum is σ = 1517511256. Its totient is φ = 251596800.

The previous prime is 630314779. The next prime is 630314803. The reversal of 630314800 is 8413036.

It is a super-3 number, since 3×630314800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (630314803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229435 + ... + 232165.

Almost surely, 2^630314800 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 630314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758755628).

630314800 is an abundant number, since it is smaller than the sum of its proper divisors (887196456).

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

630314800 is a wasteful number, since it uses less digits than its factorization.

630314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 630314800 is about 25106.0709789485. The cubic root of 630314800 is about 857.4046507212.

Adding to 630314800 its reverse (8413036), we get a palindrome (638727836).

The spelling of 630314800 in words is "six hundred thirty million, three hundred fourteen thousand, eight hundred".