447384960 has 384 divisors, whose sum is σ = 1764322560. Its totient is φ = 103403520.

The previous prime is 447384911. The next prime is 447384991. The reversal of 447384960 is 69483744.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457127 + ... + 1457433.

It is an arithmetic number, because the mean of its divisors is an integer number (4594590).

Almost surely, 2^447384960 is an apocalyptic number.

447384960 is a gapful number since it is divisible by the number (40) 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 447384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882161280).

447384960 is an abundant number, since it is smaller than the sum of its proper divisors (1316937600).

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

447384960 is a wasteful number, since it uses less digits than its factorization.

447384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 447384960 is about 21151.4765442037. The cubic root of 447384960 is about 764.8221552495.

The spelling of 447384960 in words is "four hundred forty-seven million, three hundred eighty-four thousand, nine hundred sixty".