630813456 has 405 divisors, whose sum is σ = 2324642229. Its totient is φ = 159134976.

The previous prime is 630813409. The next prime is 630813467. The reversal of 630813456 is 654318036.

The square root of 630813456 is 25116.

It is a perfect power (a square), and thus also a powerful number.

630813456 is a `hidden beast` number, since 6 + 308 + 1 + 345 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 537497856 = 9660^2 + 23184^2 .

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 630813456.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 27426661 + ... + 27426683.

Almost surely, 2^630813456 is an apocalyptic number.

630813456 is the 25116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630813456

630813456 is an abundant number, since it is smaller than the sum of its proper divisors (1693828773).

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

630813456 is a wasteful number, since it uses less digits than its factorization.

630813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 630813456 is about 857.6306950591.

Multiplying 630813456 by its sum of digits (36), we get a square (22709284416 = 150696²).

630813456 divided by its sum of digits (36) gives a square (17522596 = 4186²).

The spelling of 630813456 in words is "six hundred thirty million, eight hundred thirteen thousand, four hundred fifty-six".