447233040 has 240 divisors, whose sum is σ = 1557424128. Its totient is φ = 114960384.

The previous prime is 447233021. The next prime is 447233051. The reversal of 447233040 is 40332744.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 447232995 and 447233013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3521457 + ... + 3521583.

Almost surely, 2^447233040 is an apocalyptic number.

447233040 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 447233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778712064).

447233040 is an abundant number, since it is smaller than the sum of its proper divisors (1110191088).

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

447233040 is a wasteful number, since it uses less digits than its factorization.

447233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 447233040 is about 21147.8850006330. The cubic root of 447233040 is about 764.7355743802.

Adding to 447233040 its reverse (40332744), we get a palindrome (487565784).

The spelling of 447233040 in words is "four hundred forty-seven million, two hundred thirty-three thousand, forty".