130400416 has 24 divisors (see below), whose sum is σ = 257058900. Its totient is φ = 65115648.

The previous prime is 130400383. The next prime is 130400423. The reversal of 130400416 is 614004031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89491600 + 40908816 = 9460^2 + 6396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130400393 and 130400402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27810 + ... + 32158.

Almost surely, 2^130400416 is an apocalyptic number.

130400416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130400416 is a deficient number, since it is larger than the sum of its proper divisors (126658484).

130400416 is an equidigital number, since it uses as much as digits as its factorization.

130400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130400416 is about 11419.3001536872. The cubic root of 130400416 is about 507.0992780985.

Adding to 130400416 its reverse (614004031), we get a palindrome (744404447).

It can be divided in two parts, 130400 and 416, that added together give a triangular number (130816 = T₅₁₁).

The spelling of 130400416 in words is "one hundred thirty million, four hundred thousand, four hundred sixteen".