447887440 has 480 divisors, whose sum is σ = 1538901504. Its totient is φ = 118702080.

The previous prime is 447887417. The next prime is 447887483. The reversal of 447887440 is 44788744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9529497 + ... + 9529543.

Almost surely, 2^447887440 is an apocalyptic number.

447887440 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 447887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769450752).

447887440 is an abundant number, since it is smaller than the sum of its proper divisors (1091014064).

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

447887440 is a wasteful number, since it uses less digits than its factorization.

447887440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

The square root of 447887440 is about 21163.3513414109. The cubic root of 447887440 is about 765.1083845466.

The spelling of 447887440 in words is "four hundred forty-seven million, eight hundred eighty-seven thousand, four hundred forty".