130416304 has 60 divisors (see below), whose sum is σ = 271464024. Its totient is φ = 60673536.

The previous prime is 130416301. The next prime is 130416313. The reversal of 130416304 is 403614031.

It is not an unprimeable number, because it can be changed into a prime (130416301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386824 + ... + 387160.

Almost surely, 2^130416304 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 130416304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135732012).

130416304 is an abundant number, since it is smaller than the sum of its proper divisors (141047720).

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

130416304 is a wasteful number, since it uses less digits than its factorization.

With its successor (130416305) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (425).

130416304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 130416304 is about 11419.9957968469. The cubic root of 130416304 is about 507.1198722714.

The spelling of 130416304 in words is "one hundred thirty million, four hundred sixteen thousand, three hundred four".