1446400 has 60 divisors (see below), whose sum is σ = 3615282. Its totient is φ = 573440.

The previous prime is 1446397. The next prime is 1446409. The reversal of 1446400 is 46441.

It can be written as a sum of positive squares in 3 ways, for example, as 614656 + 831744 = 784^2 + 912^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1446409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12744 + ... + 12856.

2^1446400 is an apocalyptic number.

1446400 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 1446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807641).

1446400 is an abundant number, since it is smaller than the sum of its proper divisors (2168882).

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

1446400 is an equidigital number, since it uses as much as digits as its factorization.

1446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1446400 is about 1202.6637102698. The cubic root of 1446400 is about 113.0913715250.

It can be divided in two parts, 144 and 6400, that multiplied together give a square (921600 = 960²).

The spelling of 1446400 in words is "one million, four hundred forty-six thousand, four hundred".