405020224 has 56 divisors (see below), whose sum is σ = 925372800. Its totient is φ = 172286976.

The previous prime is 405020183. The next prime is 405020233. The reversal of 405020224 is 422020504.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58077 + ... + 64675.

Almost surely, 2^405020224 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 405020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462686400).

405020224 is an abundant number, since it is smaller than the sum of its proper divisors (520352576).

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

405020224 is a wasteful number, since it uses less digits than its factorization.

405020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 405020224 is about 20125.1142605452. The cubic root of 405020224 is about 739.8759373221.

Adding to 405020224 its reverse (422020504), we get a palindrome (827040728).

The spelling of 405020224 in words is "four hundred five million, twenty thousand, two hundred twenty-four".