404493180 has 192 divisors, whose sum is σ = 1455003648. Its totient is φ = 81607680.

The previous prime is 404493161. The next prime is 404493181. The reversal of 404493180 is 81394404.

It is a happy number.

It is a super-3 number, since 3×404493180³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404493181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123970 + ... + 127190.

It is an arithmetic number, because the mean of its divisors is an integer number (7578144).

Almost surely, 2^404493180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404493180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727501824).

404493180 is an abundant number, since it is smaller than the sum of its proper divisors (1050510468).

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

404493180 is a wasteful number, since it uses less digits than its factorization.

404493180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 404493180 is about 20112.0158114496. The cubic root of 404493180 is about 739.5548698658.

The spelling of 404493180 in words is "four hundred four million, four hundred ninety-three thousand, one hundred eighty".