4630395456 has 280 divisors, whose sum is σ = 14737567680. Its totient is φ = 1433023488.

The previous prime is 4630395439. The next prime is 4630395467. The reversal of 4630395456 is 6545930364.

4630395456 is a `hidden beast` number, since 4 + 630 + 3 + 9 + 5 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5219845 + ... + 5220731.

Almost surely, 2^4630395456 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 4630395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368783840).

4630395456 is an abundant number, since it is smaller than the sum of its proper divisors (10107172224).

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

4630395456 is a wasteful number, since it uses less digits than its factorization.

4630395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 4630395456 is about 68047.0091627839. The cubic root of 4630395456 is about 1666.7585607643.

The spelling of 4630395456 in words is "four billion, six hundred thirty million, three hundred ninety-five thousand, four hundred fifty-six".