404555144 has 64 divisors (see below), whose sum is σ = 915532800. Its totient is φ = 163715904.

The previous prime is 404555143. The next prime is 404555149. The reversal of 404555144 is 441555404.

404555144 is nontrivially palindromic in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 404555144.

It is not an unprimeable number, because it can be changed into a prime (404555141) 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, 556109 + ... + 556835.

It is an arithmetic number, because the mean of its divisors is an integer number (14305200).

Almost surely, 2^404555144 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 404555144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457766400).

404555144 is an abundant number, since it is smaller than the sum of its proper divisors (510977656).

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

404555144 is a wasteful number, since it uses less digits than its factorization.

404555144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 404555144 is about 20113.5562245964. The cubic root of 404555144 is about 739.5926318854.

The spelling of 404555144 in words is "four hundred four million, five hundred fifty-five thousand, one hundred forty-four".