447680 has 28 divisors (see below), whose sum is σ = 1066800. Its totient is φ = 178944.

The previous prime is 447677. The next prime is 447683. The reversal of 447680 is 86744.

It is an interprime number because it is at equal distance from previous prime (447677) and next prime (447683).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 380 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2⁴⁴⁷⁶⁸⁰ is an apocalyptic number.

447680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447680 is an abundant number, since it is smaller than the sum of its proper divisors (619120).

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

447680 is a wasteful number, since it uses less digits than its factorization.

447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 447680 is about 669.0889328034. The cubic root of 447680 is about 76.4990245792.

The spelling of 447680 in words is "four hundred forty-seven thousand, six hundred eighty".