447328440 has 256 divisors, whose sum is σ = 1624089600. Its totient is φ = 108864000.

The previous prime is 447328421. The next prime is 447328477. The reversal of 447328440 is 44823744.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 447328395 and 447328404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2119935 + ... + 2120145.

It is an arithmetic number, because the mean of its divisors is an integer number (6344100).

Almost surely, 2^447328440 is an apocalyptic number.

447328440 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 447328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812044800).

447328440 is an abundant number, since it is smaller than the sum of its proper divisors (1176761160).

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

447328440 is a wasteful number, since it uses less digits than its factorization.

447328440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 447328440 is about 21150.1404250657. The cubic root of 447328440 is about 764.7899461733.

It can be divided in two parts, 447 and 328440, that multiplied together give a triangular number (146812680 = T₁₇₁₃₅).

The spelling of 447328440 in words is "four hundred forty-seven million, three hundred twenty-eight thousand, four hundred forty".