1418000 has 40 divisors (see below), whose sum is σ = 3433560. Its totient is φ = 566400.

The previous prime is 1417993. The next prime is 1418009. The reversal of 1418000 is 8141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 1183744 = 484^2 + 1088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1418009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (85839).

2^1418000 is an apocalyptic number.

1418000 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 1418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716780).

1418000 is an abundant number, since it is smaller than the sum of its proper divisors (2015560).

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

1418000 is an equidigital number, since it uses as much as digits as its factorization.

1418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1418000 is about 1190.7980517283. The cubic root of 1418000 is about 112.3462921434.

The spelling of 1418000 in words is "one million, four hundred eighteen thousand".