405024032224 has 72 divisors (see below), whose sum is σ = 982140798240. Its totient is φ = 163371027456.

The previous prime is 405024032219. The next prime is 405024032243. The reversal of 405024032224 is 422230420504.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 405024032192 and 405024032201.

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 11 ways as a sum of consecutive naturals, for example, 7570584 + ... + 7623895.

It is an arithmetic number, because the mean of its divisors is an integer number (13640844420).

Almost surely, 2^405024032224 is an apocalyptic number.

It is an amenable number.

405024032224 is an abundant number, since it is smaller than the sum of its proper divisors (577116766016).

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

405024032224 is a wasteful number, since it uses less digits than its factorization.

405024032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15194520 (or 15194505 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 405024032224 its reverse (422230420504), we get a palindrome (827254452728).

The spelling of 405024032224 in words is "four hundred five billion, twenty-four million, thirty-two thousand, two hundred twenty-four".