404854641 has 27 divisors (see below), whose sum is σ = 618941739. Its totient is φ = 254973312.

The previous prime is 404854627. The next prime is 404854649. The reversal of 404854641 is 146458404.

It is a happy number.

The square root of 404854641 is 20121.

It is a perfect power (a square), and thus also a powerful number.

404854641 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 5 + 4 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164480625 + 240374016 = 12825^2 + 15504^2 .

It is not a de Polignac number, because 404854641 - 2²³ = 396466033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404854596 and 404854605.

It is not an unprimeable number, because it can be changed into a prime (404854649) 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 26 ways as a sum of consecutive naturals, for example, 1146721 + ... + 1147073.

Almost surely, 2^404854641 is an apocalyptic number.

404854641 is the 20121-st square number.

404854641 is the 10061-st centered octagonal number.

It is an amenable number.

404854641 is a deficient number, since it is larger than the sum of its proper divisors (214087098).

404854641 is an equidigital number, since it uses as much as digits as its factorization.

404854641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 404854641 is about 739.7750966158.

Multiplying 404854641 by its sum of digits (36), we get a square (14574767076 = 120726²).

The spelling of 404854641 in words is "four hundred four million, eight hundred fifty-four thousand, six hundred forty-one".