130400424 has 192 divisors, whose sum is σ = 451376640. Its totient is φ = 33022080.

The previous prime is 130400423. The next prime is 130400441. The reversal of 130400424 is 424004031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130400397 and 130400406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130400423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238119 + ... + 238665.

It is an arithmetic number, because the mean of its divisors is an integer number (2350920).

Almost surely, 2^130400424 is an apocalyptic number.

130400424 is a gapful number since it is divisible by the number (14) 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 130400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225688320).

130400424 is an abundant number, since it is smaller than the sum of its proper divisors (320976216).

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

130400424 is a wasteful number, since it uses less digits than its factorization.

130400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 613 counting only the distinct ones).

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

The square root of 130400424 is about 11419.3005039713. The cubic root of 130400424 is about 507.0992884686.

Adding to 130400424 its reverse (424004031), we get a palindrome (554404455).

The spelling of 130400424 in words is "one hundred thirty million, four hundred thousand, four hundred twenty-four".