406505224224 has 144 divisors (see below), whose sum is σ = 1270164036960. Its totient is φ = 122297057280.

The previous prime is 406505224217. The next prime is 406505224261. The reversal of 406505224224 is 422422505604.

406505224224 is a `hidden beast` number, since 40 + 6 + 50 + 522 + 42 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×406505224224³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21217 + ... + 901920.

It is an arithmetic number, because the mean of its divisors is an integer number (8820583590).

Almost surely, 2^406505224224 is an apocalyptic number.

406505224224 is a gapful number since it is divisible by the number (44) 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 406505224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635082018480).

406505224224 is an abundant number, since it is smaller than the sum of its proper divisors (863658812736).

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

406505224224 is a wasteful number, since it uses less digits than its factorization.

406505224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923303 (or 923292 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 406505224224 its reverse (422422505604), we get a palindrome (828927729828).

The spelling of 406505224224 in words is "four hundred six billion, five hundred five million, two hundred twenty-four thousand, two hundred twenty-four".