180400416 has 96 divisors (see below), whose sum is σ = 559923840. Its totient is φ = 49760256.

The previous prime is 180400397. The next prime is 180400427. The reversal of 180400416 is 614004081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14860 + ... + 24116.

It is an arithmetic number, because the mean of its divisors is an integer number (5832540).

Almost surely, 2^180400416 is an apocalyptic number.

180400416 is a gapful number since it is divisible by the number (16) 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 180400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279961920).

180400416 is an abundant number, since it is smaller than the sum of its proper divisors (379523424).

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

180400416 is a wasteful number, since it uses less digits than its factorization.

180400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 180400416 is about 13431.3221985030. The cubic root of 180400416 is about 565.0399804637.

Adding to 180400416 its reverse (614004081), we get a palindrome (794404497).

The spelling of 180400416 in words is "one hundred eighty million, four hundred thousand, four hundred sixteen".