630291456 has 264 divisors, whose sum is σ = 2011791600. Its totient is φ = 196411392.

The previous prime is 630291443. The next prime is 630291457. The reversal of 630291456 is 654192036.

It is a happy number.

630291456 is a `hidden beast` number, since 630 + 2 + 9 + 14 + 5 + 6 = 666.

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 630291456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630291457) 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 23 ways as a sum of consecutive naturals, for example, 4230070 + ... + 4230218.

Almost surely, 2^630291456 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 630291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005895800).

630291456 is an abundant number, since it is smaller than the sum of its proper divisors (1381500144).

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

630291456 is a wasteful number, since it uses less digits than its factorization.

630291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 630291456 is about 25105.6060671715. The cubic root of 630291456 is about 857.3940657980.

The spelling of 630291456 in words is "six hundred thirty million, two hundred ninety-one thousand, four hundred fifty-six".