401184576 has 140 divisors (see below), whose sum is σ = 1280931652. Its totient is φ = 123420672.

The previous prime is 401184571. The next prime is 401184583. The reversal of 401184576 is 675481104.

It is a happy number.

401184576 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 84 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 377913600 = 4824^2 + 19440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 401184576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401184571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64416 + ... + 70368.

Almost surely, 2^401184576 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 401184576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640465826).

401184576 is an abundant number, since it is smaller than the sum of its proper divisors (879747076).

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

401184576 is a wasteful number, since it uses less digits than its factorization.

401184576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 401184576 is about 20029.5925070881. The cubic root of 401184576 is about 737.5329188026.

The spelling of 401184576 in words is "four hundred one million, one hundred eighty-four thousand, five hundred seventy-six".