130432400 has 120 divisors (see below), whose sum is σ = 368101440. Its totient is φ = 43476480.

The previous prime is 130432387. The next prime is 130432403. The reversal of 130432400 is 4234031.

It is a super-2 number, since 2×130432400² = 34025221939520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130432403) 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, 102971 + ... + 104229.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^130432400 is an apocalyptic number.

130432400 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 130432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

130432400 is an abundant number, since it is smaller than the sum of its proper divisors (237669040).

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

130432400 is a wasteful number, since it uses less digits than its factorization.

130432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130432400 is about 11420.7005039096. The cubic root of 130432400 is about 507.1407343503.

Adding to 130432400 its reverse (4234031), we get a palindrome (134666431).

The spelling of 130432400 in words is "one hundred thirty million, four hundred thirty-two thousand, four hundred".