404016960 has 56 divisors (see below), whose sum is σ = 1282756896. Its totient is φ = 107737600.

The previous prime is 404016947. The next prime is 404016961. The reversal of 404016960 is 69610404.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404016961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209466 + ... + 211385.

Almost surely, 2^404016960 is an apocalyptic number.

404016960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404016960 is an abundant number, since it is smaller than the sum of its proper divisors (878739936).

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

404016960 is a wasteful number, since it uses less digits than its factorization.

404016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420871 (or 420861 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 404016960 is about 20100.1731335827. The cubic root of 404016960 is about 739.2645237056.

The spelling of 404016960 in words is "four hundred four million, sixteen thousand, nine hundred sixty".