404141000 has 64 divisors (see below), whose sum is σ = 1001360880. Its totient is φ = 152140800.

The previous prime is 404140999. The next prime is 404141021. The reversal of 404141000 is 141404.

It can be written as a sum of positive squares in 8 ways, for example, as 14394436 + 389746564 = 3794^2 + 19742^2 .

It is an unprimeable number.

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, 5114 + ... + 28886.

Almost surely, 2^404141000 is an apocalyptic number.

404141000 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 404141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500680440).

404141000 is an abundant number, since it is smaller than the sum of its proper divisors (597219880).

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

404141000 is a wasteful number, since it uses less digits than its factorization.

404141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23811 (or 23797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 404141000 is about 20103.2584423521. The cubic root of 404141000 is about 739.3401715107.

Adding to 404141000 its reverse (141404), we get a palindrome (404282404).

It can be divided in two parts, 40414 and 1000, that added together give a palindrome (41414).

The spelling of 404141000 in words is "four hundred four million, one hundred forty-one thousand".