180400959 has 16 divisors (see below), whose sum is σ = 268236640. Its totient is φ = 119828160.

The previous prime is 180400931. The next prime is 180400963. The reversal of 180400959 is 959004081.

It is not a de Polignac number, because 180400959 - 2¹⁵ = 180368191 is a prime.

It is a super-4 number, since 4×180400959⁴ (a number of 34 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180400159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4582 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (16764790).

Almost surely, 2^180400959 is an apocalyptic number.

180400959 is a deficient number, since it is larger than the sum of its proper divisors (87835681).

180400959 is a wasteful number, since it uses less digits than its factorization.

180400959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24401 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 180400959 is about 13431.3424124322. The cubic root of 180400959 is about 565.0405473811.

The spelling of 180400959 in words is "one hundred eighty million, four hundred thousand, nine hundred fifty-nine".