405506457 has 12 divisors (see below), whose sum is σ = 620186580. Its totient is φ = 254435328.

The previous prime is 405506419. The next prime is 405506473. The reversal of 405506457 is 754605504.

It is a happy number.

405506457 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 0 + 645 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312016896 + 93489561 = 17664^2 + 9669^2 .

It is not a de Polignac number, because 405506457 - 2⁷ = 405506329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405506407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1325032 + ... + 1325337.

It is an arithmetic number, because the mean of its divisors is an integer number (51682215).

Almost surely, 2^405506457 is an apocalyptic number.

It is an amenable number.

405506457 is a deficient number, since it is larger than the sum of its proper divisors (214680123).

405506457 is a wasteful number, since it uses less digits than its factorization.

405506457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650392 (or 2650389 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 405506457 is about 20137.1908914824. The cubic root of 405506457 is about 740.1718963949.

The spelling of 405506457 in words is "four hundred five million, five hundred six thousand, four hundred fifty-seven".