1466820 has 72 divisors (see below), whose sum is σ = 4619160. Its totient is φ = 376320.

The previous prime is 1466797. The next prime is 1466821. The reversal of 1466820 is 286641.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 1218816 = 498^2 + 1104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5080 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (64155).

2^1466820 is an apocalyptic number.

1466820 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 1466820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309580).

1466820 is an abundant number, since it is smaller than the sum of its proper divisors (3152340).

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

1466820 is a wasteful number, since it uses less digits than its factorization.

1466820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1466820 is about 1211.1234454010. The cubic root of 1466820 is about 113.6210873040.

The spelling of 1466820 in words is "one million, four hundred sixty-six thousand, eight hundred twenty".