447963516 has 288 divisors, whose sum is σ = 1573318656. Its totient is φ = 103680000.

The previous prime is 447963497. The next prime is 447963517. The reversal of 447963516 is 615369744.

447963516 is a `hidden beast` number, since 4 + 4 + 7 + 9 + 635 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447963517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1116916 + ... + 1117316.

It is an arithmetic number, because the mean of its divisors is an integer number (5462912).

Almost surely, 2^447963516 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 447963516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786659328).

447963516 is an abundant number, since it is smaller than the sum of its proper divisors (1125355140).

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

447963516 is a wasteful number, since it uses less digits than its factorization.

447963516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 447963516 is about 21165.1486174796. The cubic root of 447963516 is about 765.1517013007.

The spelling of 447963516 in words is "four hundred forty-seven million, nine hundred sixty-three thousand, five hundred sixteen".