405504144 has 100 divisors (see below), whose sum is σ = 1182615280. Its totient is φ = 134136000.

The previous prime is 405504139. The next prime is 405504157. The reversal of 405504144 is 441405504.

It is a super-4 number, since 4×405504144⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179019 + ... + 181269.

Almost surely, 2^405504144 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 405504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591307640).

405504144 is an abundant number, since it is smaller than the sum of its proper divisors (777111136).

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

405504144 is a wasteful number, since it uses less digits than its factorization.

405504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 405504144 is about 20137.1334603513. The cubic root of 405504144 is about 740.1704890841.

Adding to 405504144 its reverse (441405504), we get a palindrome (846909648).

The spelling of 405504144 in words is "four hundred five million, five hundred four thousand, one hundred forty-four".