447586464 has 192 divisors, whose sum is σ = 1333584000. Its totient is φ = 130486272.

The previous prime is 447586367. The next prime is 447586487. The reversal of 447586464 is 464685744.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3003862 + ... + 3004010.

It is an arithmetic number, because the mean of its divisors is an integer number (6945750).

Almost surely, 2^447586464 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 447586464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666792000).

447586464 is an abundant number, since it is smaller than the sum of its proper divisors (885997536).

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

447586464 is a wasteful number, since it uses less digits than its factorization.

447586464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 447586464 is about 21156.2393633651. The cubic root of 447586464 is about 764.9369643477.

The spelling of 447586464 in words is "four hundred forty-seven million, five hundred eighty-six thousand, four hundred sixty-four".