630400320 has 504 divisors, whose sum is σ = 2508516192. Its totient is φ = 150543360.

The previous prime is 630400279. The next prime is 630400321. The reversal of 630400320 is 23004036.

630400320 is a `hidden beast` number, since 630 + 4 + 0 + 0 + 32 + 0 = 666.

It is a super-2 number, since 2×630400320² = 794809126912204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 630400293 and 630400302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9408927 + ... + 9408993.

Almost surely, 2^630400320 is an apocalyptic number.

630400320 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 630400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254258096).

630400320 is an abundant number, since it is smaller than the sum of its proper divisors (1878115872).

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

630400320 is a wasteful number, since it uses less digits than its factorization.

630400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 630400320 is about 25107.7740948894. The cubic root of 630400320 is about 857.4434260177.

Adding to 630400320 its reverse (23004036), we get a palindrome (653404356).

The spelling of 630400320 in words is "six hundred thirty million, four hundred thousand, three hundred twenty".