405221824 has 28 divisors (see below), whose sum is σ = 918986224. Its totient is φ = 173666304.

The previous prime is 405221807. The next prime is 405221837. The reversal of 405221824 is 428122504.

It is a tau number, because it is divible by the number of its divisors (28).

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 = 405221792 and 405221801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451809 + ... + 452704.

Almost surely, 2^405221824 is an apocalyptic number.

It is an amenable number.

405221824 is an abundant number, since it is smaller than the sum of its proper divisors (513764400).

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

405221824 is an equidigital number, since it uses as much as digits as its factorization.

405221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904532 (or 904522 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 405221824 is about 20130.1223046458. The cubic root of 405221824 is about 739.9986754298.

The spelling of 405221824 in words is "four hundred five million, two hundred twenty-one thousand, eight hundred twenty-four".