404024160 has 96 divisors (see below), whose sum is σ = 1275613920. Its totient is φ = 107491328.

The previous prime is 404024149. The next prime is 404024161. The reversal of 404024160 is 61420404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404024161) 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, 312796 + ... + 314084.

It is an arithmetic number, because the mean of its divisors is an integer number (13287645).

Almost surely, 2^404024160 is an apocalyptic number.

404024160 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 404024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637806960).

404024160 is an abundant number, since it is smaller than the sum of its proper divisors (871589760).

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

404024160 is a wasteful number, since it uses less digits than its factorization.

404024160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 404024160 is about 20100.3522357197. The cubic root of 404024160 is about 739.2689151656.

Adding to 404024160 its reverse (61420404), we get a palindrome (465444564).

The spelling of 404024160 in words is "four hundred four million, twenty-four thousand, one hundred sixty".