630730464 has 384 divisors, whose sum is σ = 2243469312. Its totient is φ = 150405120.

The previous prime is 630730427. The next prime is 630730469. The reversal of 630730464 is 464037036.

It is a super-3 number, since 3×630730464³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630730469) 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 63 ways as a sum of consecutive naturals, for example, 4603804 + ... + 4603940.

It is an arithmetic number, because the mean of its divisors is an integer number (5842368).

Almost surely, 2^630730464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121734656).

630730464 is an abundant number, since it is smaller than the sum of its proper divisors (1612738848).

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

630730464 is a wasteful number, since it uses less digits than its factorization.

630730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 630730464 is about 25114.3477717420. The cubic root of 630730464 is about 857.5930824561.

The spelling of 630730464 in words is "six hundred thirty million, seven hundred thirty thousand, four hundred sixty-four".