630118440 has 360 divisors, whose sum is σ = 2480817690. Its totient is φ = 144027072.

The previous prime is 630118417. The next prime is 630118441. The reversal of 630118440 is 44811036.

It can be written as a sum of positive squares in only one way, i.e., 567106596 + 63011844 = 23814^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (630118441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 90016917 + ... + 90016923.

Almost surely, 2^630118440 is an apocalyptic number.

630118440 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 630118440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240408845).

630118440 is an abundant number, since it is smaller than the sum of its proper divisors (1850699250).

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

630118440 is an frugal number, since it uses more digits than its factorization.

630118440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 630118440 is about 25102.1600664166. The cubic root of 630118440 is about 857.3156066101.

Adding to 630118440 its reverse (44811036), we get a palindrome (674929476).

The spelling of 630118440 in words is "six hundred thirty million, one hundred eighteen thousand, four hundred forty".