446880 has 144 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 96768.

The previous prime is 446863. The next prime is 446881. The reversal of 446880 is 88644.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (446881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23511 + ... + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2⁴⁴⁶⁸⁸⁰ is an apocalyptic number.

446880 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 446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

446880 is an abundant number, since it is smaller than the sum of its proper divisors (1276800).

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

446880 is a wasteful number, since it uses less digits than its factorization.

446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 446880 is about 668.4908376335. The cubic root of 446880 is about 76.4534297272.

It can be divided in two parts, 446 and 880, that added together give a triangular number (1326 = T₅₁).

The spelling of 446880 in words is "four hundred forty-six thousand, eight hundred eighty".