447336960 has 320 divisors, whose sum is σ = 1675821312. Its totient is φ = 99680256.

The previous prime is 447336949. The next prime is 447336961. The reversal of 447336960 is 69633744.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×447336960² = 400220711564083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (447336961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849202 + ... + 2849358.

Almost surely, 2^447336960 is an apocalyptic number.

447336960 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 447336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837910656).

447336960 is an abundant number, since it is smaller than the sum of its proper divisors (1228484352).

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

447336960 is a wasteful number, since it uses less digits than its factorization.

447336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 447336960 is about 21150.3418412091. The cubic root of 447336960 is about 764.7948016430.

The spelling of 447336960 in words is "four hundred forty-seven million, three hundred thirty-six thousand, nine hundred sixty".