447354864 has 240 divisors, whose sum is σ = 1488520800. Its totient is φ = 123863040.

The previous prime is 447354863. The next prime is 447354917. The reversal of 447354864 is 468453744.

447354864 is a `hidden beast` number, since 4 + 47 + 3 + 548 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447354863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996112 + ... + 996560.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2^447354864 is an apocalyptic number.

447354864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744260400).

447354864 is an abundant number, since it is smaller than the sum of its proper divisors (1041165936).

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

447354864 is a wasteful number, since it uses less digits than its factorization.

447354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

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

The square root of 447354864 is about 21150.7650925445. The cubic root of 447354864 is about 764.8050047670.

The spelling of 447354864 in words is "four hundred forty-seven million, three hundred fifty-four thousand, eight hundred sixty-four".