130809408 has 56 divisors (see below), whose sum is σ = 347167200. Its totient is φ = 43468800.

The previous prime is 130809389. The next prime is 130809409. The reversal of 130809408 is 804908031.

It is a super-2 number, since 2×130809408² = 34222202442620928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130809409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76143 + ... + 77841.

Almost surely, 2^130809408 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 130809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173583600).

130809408 is an abundant number, since it is smaller than the sum of its proper divisors (216357792).

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

130809408 is a wasteful number, since it uses less digits than its factorization.

130809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 130809408 is about 11437.1940614820. The cubic root of 130809408 is about 507.6288855436.

The spelling of 130809408 in words is "one hundred thirty million, eight hundred nine thousand, four hundred eight".