404962168 has 64 divisors (see below), whose sum is σ = 873905760. Its totient is φ = 174268416.

The previous prime is 404962163. The next prime is 404962247. The reversal of 404962168 is 861269404.

It is a super-2 number, since 2×404962168² = 327988715022520448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404962168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404962163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198771 + ... + 200797.

Almost surely, 2^404962168 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 404962168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

404962168 is an abundant number, since it is smaller than the sum of its proper divisors (468943592).

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

404962168 is a wasteful number, since it uses less digits than its factorization.

404962168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 404962168 is about 20123.6718319496. The cubic root of 404962168 is about 739.8405841163.

The spelling of 404962168 in words is "four hundred four million, nine hundred sixty-two thousand, one hundred sixty-eight".