447828480 has 640 divisors, whose sum is σ = 1885593600. Its totient is φ = 99532800.

The previous prime is 447828443. The next prime is 447828503. The reversal of 447828480 is 84828744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×447828480² = 401100694998220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14446065 + ... + 14446095.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^447828480 is an apocalyptic number.

447828480 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 447828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942796800).

447828480 is an abundant number, since it is smaller than the sum of its proper divisors (1437765120).

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

447828480 is a wasteful number, since it uses less digits than its factorization.

447828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 447828480 is about 21161.9583214787. The cubic root of 447828480 is about 765.0748100619.

The spelling of 447828480 in words is "four hundred forty-seven million, eight hundred twenty-eight thousand, four hundred eighty".