447766416 has 60 divisors (see below), whose sum is σ = 1262326572. Its totient is φ = 148159488.

The previous prime is 447766411. The next prime is 447766469. The reversal of 447766416 is 614667744.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 359481600 = 9396^2 + 18960^2 .

It is not an unprimeable number, because it can be changed into a prime (447766411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8380 + ... + 31076.

Almost surely, 2^447766416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631163286).

447766416 is an abundant number, since it is smaller than the sum of its proper divisors (814560156).

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

447766416 is a wasteful number, since it uses less digits than its factorization.

447766416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22848 (or 22839 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 447766416 is about 21160.4918657388. The cubic root of 447766416 is about 765.0394648358.

The spelling of 447766416 in words is "four hundred forty-seven million, seven hundred sixty-six thousand, four hundred sixteen".