447358464 has 400 divisors, whose sum is σ = 1616110848. Its totient is φ = 120434688.

The previous prime is 447358459. The next prime is 447358501. The reversal of 447358464 is 464853744.

447358464 is a `hidden beast` number, since 4 + 4 + 7 + 3 + 584 + 64 = 666.

It is a super-3 number, since 3×447358464³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6676959 + ... + 6677025.

Almost surely, 2^447358464 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 447358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808055424).

447358464 is an abundant number, since it is smaller than the sum of its proper divisors (1168752384).

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

447358464 is an equidigital number, since it uses as much as digits as its factorization.

447358464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 447358464 is about 21150.8501956777. The cubic root of 447358464 is about 764.8070563006.

The spelling of 447358464 in words is "four hundred forty-seven million, three hundred fifty-eight thousand, four hundred sixty-four".