130886400 has 216 divisors, whose sum is σ = 458501904. Its totient is φ = 32768000.

The previous prime is 130886389. The next prime is 130886407. The reversal of 130886400 is 4688031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130886407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326200 + ... + 326600.

It is an arithmetic number, because the mean of its divisors is an integer number (2122694).

Almost surely, 2^130886400 is an apocalyptic number.

130886400 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 130886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229250952).

130886400 is an abundant number, since it is smaller than the sum of its proper divisors (327615504).

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

130886400 is a wasteful number, since it uses less digits than its factorization.

130886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 130886400 is about 11440.5594268812. The cubic root of 130886400 is about 507.7284596704.

The spelling of 130886400 in words is "one hundred thirty million, eight hundred eighty-six thousand, four hundred".