1008609408 has 144 divisors (see below), whose sum is σ = 3016364910. Its totient is φ = 335923200.

The previous prime is 1008609403. The next prime is 1008609461. The reversal of 1008609408 is 8049068001.

It is a happy number.

1008609408 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 609 + 40 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1008189504 + 419904 = 31752^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1008609408² = 2034585875812220928, which contains 22 as substring.

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 (1008609403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839208 + ... + 840408.

Almost surely, 2^1008609408 is an apocalyptic number.

1008609408 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 1008609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508182455).

1008609408 is an abundant number, since it is smaller than the sum of its proper divisors (2007755502).

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

1008609408 is an frugal number, since it uses more digits than its factorization.

1008609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1008609408 is about 31758.6115565527. The cubic root of 1008609408 is about 1002.8616060664.

The spelling of 1008609408 in words is "one billion, eight million, six hundred nine thousand, four hundred eight".