1413320 has 32 divisors (see below), whose sum is σ = 3223800. Its totient is φ = 557568.

The previous prime is 1413301. The next prime is 1413341. The reversal of 1413320 is 233141.

It can be written as a sum of positive squares in 4 ways, for example, as 1036324 + 376996 = 1018^2 + 614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1413295 and 1413304.

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, 3362 + ... + 3758.

2^1413320 is an apocalyptic number.

1413320 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 1413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611900).

1413320 is an abundant number, since it is smaller than the sum of its proper divisors (1810480).

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

1413320 is a wasteful number, since it uses less digits than its factorization.

1413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1413320 is about 1188.8313589404. The cubic root of 1413320 is about 112.2225591526. Note that the first 3 decimals are identical.

Adding to 1413320 its reverse (233141), we get a palindrome (1646461).

The spelling of 1413320 in words is "one million, four hundred thirteen thousand, three hundred twenty".