630497952 has 192 divisors, whose sum is σ = 2137363200. Its totient is φ = 177085440.

The previous prime is 630497941. The next prime is 630497969. The reversal of 630497952 is 259794036.

It is a happy number.

630497952 is a `hidden beast` number, since 630 + 4 + 9 + 7 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 630497898 and 630497907.

It is an unprimeable number.

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, 368074 + ... + 369782.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^630497952 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 630497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

630497952 is an abundant number, since it is smaller than the sum of its proper divisors (1506865248).

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

630497952 is a wasteful number, since it uses less digits than its factorization.

630497952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 630497952 is about 25109.7182779895. The cubic root of 630497952 is about 857.4876886830.

The spelling of 630497952 in words is "six hundred thirty million, four hundred ninety-seven thousand, nine hundred fifty-two".