130408800 has 144 divisors (see below), whose sum is σ = 431347392. Its totient is φ = 34214400.

The previous prime is 130408787. The next prime is 130408801. The reversal of 130408800 is 8804031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130408801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160395 + ... + 161205.

It is an arithmetic number, because the mean of its divisors is an integer number (2995468).

Almost surely, 2^130408800 is an apocalyptic number.

130408800 is a gapful number since it is divisible by the number (10) 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 130408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215673696).

130408800 is an abundant number, since it is smaller than the sum of its proper divisors (300938592).

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

130408800 is a wasteful number, since it uses less digits than its factorization.

130408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130408800 is about 11419.6672455900. The cubic root of 130408800 is about 507.1101457255.

The spelling of 130408800 in words is "one hundred thirty million, four hundred eight thousand, eight hundred".