630249840 has 480 divisors, whose sum is σ = 2540408832. Its totient is φ = 138240000.

The previous prime is 630249821. The next prime is 630249847. The reversal of 630249840 is 48942036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630249795 and 630249804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630249847) 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 95 ways as a sum of consecutive naturals, for example, 4173765 + ... + 4173915.

Almost surely, 2^630249840 is an apocalyptic number.

630249840 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 630249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270204416).

630249840 is an abundant number, since it is smaller than the sum of its proper divisors (1910158992).

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

630249840 is a wasteful number, since it uses less digits than its factorization.

630249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 630249840 is about 25104.7772346221. Note that the first 3 decimals coincide. The cubic root of 630249840 is about 857.3751951118.

The spelling of 630249840 in words is "six hundred thirty million, two hundred forty-nine thousand, eight hundred forty".