1413000 has 96 divisors (see below), whose sum is σ = 4806360. Its totient is φ = 374400.

The previous prime is 1412981. The next prime is 1413001. The reversal of 1413000 is 3141.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 1127844 = 534^2 + 1062^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1413001) 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, 8922 + ... + 9078.

2^1413000 is an apocalyptic number.

1413000 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 1413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403180).

1413000 is an abundant number, since it is smaller than the sum of its proper divisors (3393360).

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

1413000 is a wasteful number, since it uses less digits than its factorization.

1413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1413000 is about 1188.6967653695. The cubic root of 1413000 is about 112.2140888063.

Adding to 1413000 its reverse (3141), we get a palindrome (1416141).

The spelling of 1413000 in words is "one million, four hundred thirteen thousand".