406630224 has 540 divisors, whose sum is σ = 1614218112. Its totient is φ = 94348800.

The previous prime is 406630187. The next prime is 406630243. The reversal of 406630224 is 422036604.

406630224 is a `hidden beast` number, since 4 + 0 + 6 + 630 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13117089 + ... + 13117119.

Almost surely, 2^406630224 is an apocalyptic number.

406630224 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 406630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807109056).

406630224 is an abundant number, since it is smaller than the sum of its proper divisors (1207587888).

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

406630224 is a wasteful number, since it uses less digits than its factorization.

406630224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 406630224 is about 20165.0743613804. The cubic root of 406630224 is about 740.8550039472.

Adding to 406630224 its reverse (422036604), we get a palindrome (828666828).

The spelling of 406630224 in words is "four hundred six million, six hundred thirty thousand, two hundred twenty-four".