447233280 has 432 divisors, whose sum is σ = 1686741504. Its totient is φ = 100270080.

The previous prime is 447233257. The next prime is 447233287. The reversal of 447233280 is 82332744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447233287) 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 47 ways as a sum of consecutive naturals, for example, 14426865 + ... + 14426895.

Almost surely, 2^447233280 is an apocalyptic number.

447233280 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 447233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843370752).

447233280 is an abundant number, since it is smaller than the sum of its proper divisors (1239508224).

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

447233280 is a wasteful number, since it uses less digits than its factorization.

447233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 447233280 is about 21147.8906749586. The cubic root of 447233280 is about 764.7357111743.

The spelling of 447233280 in words is "four hundred forty-seven million, two hundred thirty-three thousand, two hundred eighty".