405133220 has 48 divisors (see below), whose sum is σ = 866327616. Its totient is φ = 159120000.

The previous prime is 405133199. The next prime is 405133237. The reversal of 405133220 is 22331504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 405133192 and 405133201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263855 + ... + 265385.

It is an arithmetic number, because the mean of its divisors is an integer number (18048492).

Almost surely, 2^405133220 is an apocalyptic number.

It is an amenable number.

405133220 is an abundant number, since it is smaller than the sum of its proper divisors (461194396).

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

405133220 is a wasteful number, since it uses less digits than its factorization.

405133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 405133220 is about 20127.9214028672. The cubic root of 405133220 is about 739.9447365596.

Adding to 405133220 its reverse (22331504), we get a palindrome (427464724).

The spelling of 405133220 in words is "four hundred five million, one hundred thirty-three thousand, two hundred twenty".