630282240 has 288 divisors, whose sum is σ = 2499063840. Its totient is φ = 143917056.

The previous prime is 630282229. The next prime is 630282281. The reversal of 630282240 is 42282036.

630282240 is a `hidden beast` number, since 630 + 2 + 8 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644632 + ... + 645608.

It is an arithmetic number, because the mean of its divisors is an integer number (8677305).

Almost surely, 2^630282240 is an apocalyptic number.

630282240 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 630282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249531920).

630282240 is an abundant number, since it is smaller than the sum of its proper divisors (1868781600).

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

630282240 is a wasteful number, since it uses less digits than its factorization.

630282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 630282240 is about 25105.4225218378. The cubic root of 630282240 is about 857.3898868941.

The spelling of 630282240 in words is "six hundred thirty million, two hundred eighty-two thousand, two hundred forty".