447866496 has 576 divisors, whose sum is σ = 1777688640. Its totient is φ = 109486080.

The previous prime is 447866491. The next prime is 447866527. The reversal of 447866496 is 694668744.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (447866491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26345080 + ... + 26345096.

It is an arithmetic number, because the mean of its divisors is an integer number (3086265).

Almost surely, 2^447866496 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 447866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888844320).

447866496 is an abundant number, since it is smaller than the sum of its proper divisors (1329822144).

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

447866496 is a wasteful number, since it uses less digits than its factorization.

447866496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 447866496 is about 21162.8565179656. The cubic root of 447866496 is about 765.0964584253.

The spelling of 447866496 in words is "four hundred forty-seven million, eight hundred sixty-six thousand, four hundred ninety-six".