630685440 has 720 divisors, whose sum is σ = 2849172480. Its totient is φ = 129392640.

The previous prime is 630685427. The next prime is 630685457. The reversal of 630685440 is 44586036.

630685440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 630685395 and 630685404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983321 + ... + 7983399.

It is an arithmetic number, because the mean of its divisors is an integer number (3957184).

Almost surely, 2^630685440 is an apocalyptic number.

630685440 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 630685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424586240).

630685440 is an abundant number, since it is smaller than the sum of its proper divisors (2218487040).

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

630685440 is a wasteful number, since it uses less digits than its factorization.

630685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 630685440 is about 25113.4513757070. The cubic root of 630685440 is about 857.5726758577.

The spelling of 630685440 in words is "six hundred thirty million, six hundred eighty-five thousand, four hundred forty".