447721344 has 320 divisors, whose sum is σ = 1579776000. Its totient is φ = 123171840.

The previous prime is 447721319. The next prime is 447721387. The reversal of 447721344 is 443127744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 447721299 and 447721308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249757 + ... + 2249955.

It is an arithmetic number, because the mean of its divisors is an integer number (4936800).

Almost surely, 2^447721344 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 447721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789888000).

447721344 is an abundant number, since it is smaller than the sum of its proper divisors (1132054656).

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

447721344 is a wasteful number, since it uses less digits than its factorization.

447721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 447721344 is about 21159.4268353375. The cubic root of 447721344 is about 765.0137944456.

The spelling of 447721344 in words is "four hundred forty-seven million, seven hundred twenty-one thousand, three hundred forty-four".