447421320 has 192 divisors, whose sum is σ = 1522160640. Its totient is φ = 118195200.

The previous prime is 447421301. The next prime is 447421349. The reversal of 447421320 is 23124744.

447421320 is a `hidden beast` number, since 447 + 4 + 213 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856400 + ... + 1856640.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2^447421320 is an apocalyptic number.

447421320 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 447421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761080320).

447421320 is an abundant number, since it is smaller than the sum of its proper divisors (1074739320).

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

447421320 is a wasteful number, since it uses less digits than its factorization.

447421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 447421320 is about 21152.3360412036. The cubic root of 447421320 is about 764.8428743041.

The spelling of 447421320 in words is "four hundred forty-seven million, four hundred twenty-one thousand, three hundred twenty".