1445600 has 72 divisors (see below), whose sum is σ = 3827880. Its totient is φ = 529920.

The previous prime is 1445599. The next prime is 1445657. The reversal of 1445600 is 65441.

It is a happy number.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10331 + ... + 10469.

It is an arithmetic number, because the mean of its divisors is an integer number (53165).

2^1445600 is an apocalyptic number.

1445600 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 1445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913940).

1445600 is an abundant number, since it is smaller than the sum of its proper divisors (2382280).

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

1445600 is a wasteful number, since it uses less digits than its factorization.

1445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1445600 is about 1202.3310692151. The cubic root of 1445600 is about 113.0705175007.

The spelling of 1445600 in words is "one million, four hundred forty-five thousand, six hundred".