1466000 has 40 divisors (see below), whose sum is σ = 3549624. Its totient is φ = 585600.

The previous prime is 1465993. The next prime is 1466039. The reversal of 1466000 is 6641.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 1449616 = 128^2 + 1204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1466000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634 + ... + 2366.

2^1466000 is an apocalyptic number.

1466000 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 1466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774812).

1466000 is an abundant number, since it is smaller than the sum of its proper divisors (2083624).

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

1466000 is an equidigital number, since it uses as much as digits as its factorization.

1466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1466000 is about 1210.7848694132. The cubic root of 1466000 is about 113.5999107319.

The spelling of 1466000 in words is "one million, four hundred sixty-six thousand".