405229003776 has 297 divisors, whose sum is σ = 1238463459441. Its totient is φ = 127600386048.

The previous prime is 405229003771. The next prime is 405229003789. The reversal of 405229003776 is 677300922504.

The square root of 405229003776 is 636576.

It is a perfect power (a square), and thus also a powerful number.

405229003776 is a `hidden beast` number, since 4 + 0 + 522 + 90 + 0 + 37 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 297434981376 + 107794022400 = 545376^2 + 328320^2 .

It is not an unprimeable number, because it can be changed into a prime (405229003771) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1161114450 + ... + 1161114798.

Almost surely, 2^405229003776 is an apocalyptic number.

405229003776 is the 636576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405229003776

405229003776 is an abundant number, since it is smaller than the sum of its proper divisors (833234455665).

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

405229003776 is an equidigital number, since it uses as much as digits as its factorization.

405229003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 405229003776 in words is "four hundred five billion, two hundred twenty-nine million, three thousand, seven hundred seventy-six".