447541248 has 312 divisors, whose sum is σ = 1533879424. Its totient is φ = 113541120.

The previous prime is 447541243. The next prime is 447541271. The reversal of 447541248 is 842145744.

It is a super-2 number, since 2×447541248² = 400586337322795008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447541243) 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 23 ways as a sum of consecutive naturals, for example, 10407915 + ... + 10407957.

Almost surely, 2^447541248 is an apocalyptic number.

447541248 is a gapful number since it is divisible by the number (48) 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 447541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766939712).

447541248 is an abundant number, since it is smaller than the sum of its proper divisors (1086338176).

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

447541248 is a wasteful number, since it uses less digits than its factorization.

447541248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 447541248 is about 21155.1707154539. The cubic root of 447541248 is about 764.9112050383.

The spelling of 447541248 in words is "four hundred forty-seven million, five hundred forty-one thousand, two hundred forty-eight".