1446480 has 180 divisors, whose sum is σ = 5788692. Its totient is φ = 322560.

The previous prime is 1446469. The next prime is 1446509. The reversal of 1446480 is 846441.

1446480 is a `hidden beast` number, since 14 + 4 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 1192464 = 504^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35260 + ... + 35300.

2^1446480 is an apocalyptic number.

1446480 is a gapful number since it is divisible by the number (10) 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 1446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346).

1446480 is an abundant number, since it is smaller than the sum of its proper divisors (4342212).

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

1446480 is a wasteful number, since it uses less digits than its factorization.

1446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1446480 is about 1202.6969693152. The cubic root of 1446480 is about 113.0934565045.

The spelling of 1446480 in words is "one million, four hundred forty-six thousand, four hundred eighty".