1486400 has 42 divisors (see below), whose sum is σ = 3661410. Its totient is φ = 593920.

The previous prime is 1486399. The next prime is 1486403. The reversal of 1486400 is 46841.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 1478656 = 88^2 + 1216^2 .

It is not an unprimeable number, because it can be changed into a prime (1486403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1136 + ... + 2064.

2^1486400 is an apocalyptic number.

1486400 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 1486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830705).

1486400 is an abundant number, since it is smaller than the sum of its proper divisors (2175010).

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

1486400 is an equidigital number, since it uses as much as digits as its factorization.

1486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1486400 is about 1219.1800523303. The cubic root of 1486400 is about 114.1244153124.

The spelling of 1486400 in words is "one million, four hundred eighty-six thousand, four hundred".