130406464 has 56 divisors (see below), whose sum is σ = 264993120. Its totient is φ = 63661056.

The previous prime is 130406431. The next prime is 130406467. The reversal of 130406464 is 464604031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130406467) 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, 938107 + ... + 938245.

It is an arithmetic number, because the mean of its divisors is an integer number (4732020).

Almost surely, 2^130406464 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 130406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496560).

130406464 is an abundant number, since it is smaller than the sum of its proper divisors (134586656).

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

130406464 is a wasteful number, since it uses less digits than its factorization.

130406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 130406464 is about 11419.5649654442. The cubic root of 130406464 is about 507.1071177694.

The spelling of 130406464 in words is "one hundred thirty million, four hundred six thousand, four hundred sixty-four".