1408408408 has 64 divisors (see below), whose sum is σ = 2937150720. Its totient is φ = 627792000.

The previous prime is 1408408279. The next prime is 1408408423. The reversal of 1408408408 is 8048048041.

It is a super-2 number, since 2×1408408408² = 3967228487450188928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102266 + ... + 1103542.

It is an arithmetic number, because the mean of its divisors is an integer number (45892980).

Almost surely, 2^1408408408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408408408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468575360).

1408408408 is an abundant number, since it is smaller than the sum of its proper divisors (1528742312).

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

1408408408 is a wasteful number, since it uses less digits than its factorization.

1408408408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 1408408408 is about 37528.7677388960. The cubic root of 1408408408 is about 1120.9240906570.

The spelling of 1408408408 in words is "one billion, four hundred eight million, four hundred eight thousand, four hundred eight".