1408814208 has 160 divisors (see below), whose sum is σ = 4439787660. Its totient is φ = 441925632.

The previous prime is 1408814207. The next prime is 1408814219. The reversal of 1408814208 is 8024188041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1396367424 + 12446784 = 37368^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1408814207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172260 + ... + 180252.

Almost surely, 2^1408814208 is an apocalyptic number.

1408814208 is a gapful number since it is divisible by the number (18) 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 1408814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219893830).

1408814208 is an abundant number, since it is smaller than the sum of its proper divisors (3030973452).

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

1408814208 is an equidigital number, since it uses as much as digits as its factorization.

1408814208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1408814208 is about 37534.1738686227. The cubic root of 1408814208 is about 1121.0317363545.

The spelling of 1408814208 in words is "one billion, four hundred eight million, eight hundred fourteen thousand, two hundred eight".