447360 has 64 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 118784.

The previous prime is 447353. The next prime is 447401. The reversal of 447360 is 63744.

447360 = T₁₁ + T₁₂ + ... + T₁₃₈.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 447360.

It is a congruent number.

It is an unprimeable number.

447360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804 + ... + 2036.

2⁴⁴⁷³⁶⁰ is an apocalyptic number.

447360 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 447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

447360 is an abundant number, since it is smaller than the sum of its proper divisors (984720).

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

447360 is a wasteful number, since it uses less digits than its factorization.

447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 447360 is about 668.8497589145. The cubic root of 447360 is about 76.4807931618.

The spelling of 447360 in words is "four hundred forty-seven thousand, three hundred sixty".