1413648 has 30 divisors (see below), whose sum is σ = 3956654. Its totient is φ = 471168.

The previous prime is 1413647. The next prime is 1413661. The reversal of 1413648 is 8463141.

1413648 is a `hidden beast` number, since 1 + 4 + 13 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 2304 = 1188^2 + 48^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1413641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4765 + ... + 5052.

2^1413648 is an apocalyptic number.

1413648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1413648 is an abundant number, since it is smaller than the sum of its proper divisors (2543006).

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

1413648 is a wasteful number, since it uses less digits than its factorization.

1413648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9822 counting only the distinct ones).

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

The square root of 1413648 is about 1188.9693015381. The cubic root of 1413648 is about 112.2312399308.

Subtracting from 1413648 its product of digits (2304), we obtain a square (1411344 = 1188²).

Adding to 1413648 its reverse (8463141), we get a palindrome (9876789).

The spelling of 1413648 in words is "one million, four hundred thirteen thousand, six hundred forty-eight".