447332960 has 192 divisors, whose sum is σ = 1182444480. Its totient is φ = 159252480.

The previous prime is 447332959. The next prime is 447332969. The reversal of 447332960 is 69233744.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447332969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611632 + ... + 4611728.

It is an arithmetic number, because the mean of its divisors is an integer number (6158565).

Almost surely, 2^447332960 is an apocalyptic number.

447332960 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 447332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591222240).

447332960 is an abundant number, since it is smaller than the sum of its proper divisors (735111520).

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

447332960 is a wasteful number, since it uses less digits than its factorization.

447332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 447332960 is about 21150.2472798783. The cubic root of 447332960 is about 764.7925220874.

The spelling of 447332960 in words is "four hundred forty-seven million, three hundred thirty-two thousand, nine hundred sixty".