630630400 has 144 divisors (see below), whose sum is σ = 1591890300. Its totient is φ = 247726080.

The previous prime is 630630379. The next prime is 630630421. The reversal of 630630400 is 4036036.

It is an interprime number because it is at equal distance from previous prime (630630379) and next prime (630630421).

It can be written as a sum of positive squares in 6 ways, for example, as 104203264 + 526427136 = 10208^2 + 22944^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 5580744 + ... + 5580856.

Almost surely, 2^630630400 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 630630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795945150).

630630400 is an abundant number, since it is smaller than the sum of its proper divisors (961259900).

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

630630400 is a wasteful number, since it uses less digits than its factorization.

630630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 630630400 is about 25112.3555247213. The cubic root of 630630400 is about 857.5477283058.

Adding to 630630400 its reverse (4036036), we get a palindrome (634666436).

The spelling of 630630400 in words is "six hundred thirty million, six hundred thirty thousand, four hundred".