447442464 has 96 divisors (see below), whose sum is σ = 1351195776. Its totient is φ = 126996480.

The previous prime is 447442453. The next prime is 447442469. The reversal of 447442464 is 464244744.

It is a tau number, because it is divible by the number of its divisors (96).

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 (447442469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103384 + ... + 107624.

It is an arithmetic number, because the mean of its divisors is an integer number (14074956).

Almost surely, 2^447442464 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 447442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675597888).

447442464 is an abundant number, since it is smaller than the sum of its proper divisors (903753312).

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

447442464 is a wasteful number, since it uses less digits than its factorization.

447442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4410 counting only the distinct ones).

The product of its digits is 344064, while the sum is 39.

The square root of 447442464 is about 21152.8358382511. The cubic root of 447442464 is about 764.8549222942.

The spelling of 447442464 in words is "four hundred forty-seven million, four hundred forty-two thousand, four hundred sixty-four".