404601040 has 80 divisors (see below), whose sum is σ = 986878800. Its totient is φ = 154054656.

The previous prime is 404601023. The next prime is 404601047. The reversal of 404601040 is 40106404.

It can be written as a sum of positive squares in 8 ways, for example, as 11451456 + 393149584 = 3384^2 + 19828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 404600999 and 404601017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404601047) 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 15 ways as a sum of consecutive naturals, for example, 168166 + ... + 170554.

It is an arithmetic number, because the mean of its divisors is an integer number (12335985).

Almost surely, 2^404601040 is an apocalyptic number.

404601040 is a gapful number since it is divisible by the number (40) 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 404601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493439400).

404601040 is an abundant number, since it is smaller than the sum of its proper divisors (582277760).

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

404601040 is a wasteful number, since it uses less digits than its factorization.

404601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 404601040 is about 20114.6971142993. The cubic root of 404601040 is about 739.6205992798.

Adding to 404601040 its reverse (40106404), we get a palindrome (444707444).

The spelling of 404601040 in words is "four hundred four million, six hundred one thousand, forty".