130442400 has 432 divisors, whose sum is σ = 528903648. Its totient is φ = 31104000.

The previous prime is 130442387. The next prime is 130442413. The reversal of 130442400 is 4244031.

It is an interprime number because it is at equal distance from previous prime (130442387) and next prime (130442413).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138370 + ... + 2138430.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^130442400 is an apocalyptic number.

130442400 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 130442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264451824).

130442400 is an abundant number, since it is smaller than the sum of its proper divisors (398461248).

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

130442400 is a wasteful number, since it uses less digits than its factorization.

130442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130442400 is about 11421.1382970350. The cubic root of 130442400 is about 507.1536945191.

Adding to 130442400 its reverse (4244031), we get a palindrome (134686431).

The spelling of 130442400 in words is "one hundred thirty million, four hundred forty-two thousand, four hundred".