447617664 has 288 divisors, whose sum is σ = 1475559540. Its totient is φ = 134369280.

The previous prime is 447617641. The next prime is 447617683. The reversal of 447617664 is 466716744.

447617664 is a `hidden beast` number, since 4 + 476 + 176 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353139264 + 94478400 = 18792^2 + 9720^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10917484 + ... + 10917524.

Almost surely, 2^447617664 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 447617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737779770).

447617664 is an abundant number, since it is smaller than the sum of its proper divisors (1027941876).

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

447617664 is an frugal number, since it uses more digits than its factorization.

447617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 447617664 is about 21156.9767216396. The cubic root of 447617664 is about 764.9547378065.

It can be divided in two parts, 44761 and 7664, that added together give a palindrome (52425).

The spelling of 447617664 in words is "four hundred forty-seven million, six hundred seventeen thousand, six hundred sixty-four".