405411302424 has 256 divisors, whose sum is σ = 1117952409600. Its totient is φ = 122007603200.

The previous prime is 405411302381. The next prime is 405411302431. The reversal of 405411302424 is 424203114504.

It is a junction number, because it is equal to n+sod(n) for n = 405411302391 and 405411302400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260044957 + ... + 260046515.

It is an arithmetic number, because the mean of its divisors is an integer number (4367001600).

Almost surely, 2^405411302424 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 405411302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558976204800).

405411302424 is an abundant number, since it is smaller than the sum of its proper divisors (712541107176).

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

405411302424 is a wasteful number, since it uses less digits than its factorization.

405411302424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 405411302424 its reverse (424203114504), we get a palindrome (829614416928).

The spelling of 405411302424 in words is "four hundred five billion, four hundred eleven million, three hundred two thousand, four hundred twenty-four".