1408475136 has 112 divisors (see below), whose sum is σ = 3787225344. Its totient is φ = 465567744.

The previous prime is 1408475129. The next prime is 1408475141. The reversal of 1408475136 is 6315748041.

It is a junction number, because it is equal to n+sod(n) for n = 1408475094 and 1408475103.

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, 5480320 + ... + 5480576.

It is an arithmetic number, because the mean of its divisors is an integer number (33814512).

Almost surely, 2^1408475136 is an apocalyptic number.

1408475136 is a gapful number since it is divisible by the number (16) 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 1408475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893612672).

1408475136 is an abundant number, since it is smaller than the sum of its proper divisors (2378750208).

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

1408475136 is an equidigital number, since it uses as much as digits as its factorization.

1408475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1408475136 is about 37529.6567530267. The cubic root of 1408475136 is about 1120.9417928711.

The spelling of 1408475136 in words is "one billion, four hundred eight million, four hundred seventy-five thousand, one hundred thirty-six".