405813824 has 28 divisors (see below), whose sum is σ = 867233724. Its totient is φ = 187298304.

The previous prime is 405813787. The next prime is 405813869. The reversal of 405813824 is 428318504.

It can be written as a sum of positive squares in 2 ways, for example, as 206439424 + 199374400 = 14368^2 + 14120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243047 + ... + 244710.

It is an arithmetic number, because the mean of its divisors is an integer number (30972633).

Almost surely, 2^405813824 is an apocalyptic number.

It is an amenable number.

405813824 is an abundant number, since it is smaller than the sum of its proper divisors (461419900).

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

405813824 is a wasteful number, since it uses less digits than its factorization.

405813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487782 (or 487772 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 405813824 is about 20144.8212699939. The cubic root of 405813824 is about 740.3588617350.

The spelling of 405813824 in words is "four hundred five million, eight hundred thirteen thousand, eight hundred twenty-four".