446420 has 48 divisors (see below), whose sum is σ = 1079568. Its totient is φ = 153600.

The previous prime is 446417. The next prime is 446441. The reversal of 446420 is 24644.

It can be written as a sum of positive squares in 8 ways, for example, as 13456 + 432964 = 116^2 + 658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 446392 and 446401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 446420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4370 + ... + 4470.

It is an arithmetic number, because the mean of its divisors is an integer number (22491).

2⁴⁴⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539784).

446420 is an abundant number, since it is smaller than the sum of its proper divisors (633148).

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

446420 is a wasteful number, since it uses less digits than its factorization.

446420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 446420 is about 668.1466904805. The cubic root of 446420 is about 76.4271880430.

The spelling of 446420 in words is "four hundred forty-six thousand, four hundred twenty".