630248256 has 224 divisors, whose sum is σ = 2054108160. Its totient is φ = 187891200.

The previous prime is 630248251. The next prime is 630248257. The reversal of 630248256 is 652842036.

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

It is a self number, because there is not a number n which added to its sum of digits gives 630248256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630248251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349335 + ... + 1349801.

Almost surely, 2^630248256 is an apocalyptic number.

630248256 is a gapful number since it is divisible by the number (66) 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 630248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027054080).

630248256 is an abundant number, since it is smaller than the sum of its proper divisors (1423859904).

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

630248256 is a wasteful number, since it uses less digits than its factorization.

630248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

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

The square root of 630248256 is about 25104.7456868218. The cubic root of 630248256 is about 857.3744768340.

The spelling of 630248256 in words is "six hundred thirty million, two hundred forty-eight thousand, two hundred fifty-six".