130305456 has 80 divisors (see below), whose sum is σ = 377654400. Its totient is φ = 43013952.

The previous prime is 130305451. The next prime is 130305457. The reversal of 130305456 is 654503031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130305451) 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 15 ways as a sum of consecutive naturals, for example, 44815 + ... + 47633.

It is an arithmetic number, because the mean of its divisors is an integer number (4720680).

Almost surely, 2^130305456 is an apocalyptic number.

130305456 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 130305456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188827200).

130305456 is an abundant number, since it is smaller than the sum of its proper divisors (247348944).

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

130305456 is a wasteful number, since it uses less digits than its factorization.

130305456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 130305456 is about 11415.1415234328. The cubic root of 130305456 is about 506.9761551756.

Adding to 130305456 its reverse (654503031), we get a palindrome (784808487).

The spelling of 130305456 in words is "one hundred thirty million, three hundred five thousand, four hundred fifty-six".