405152505 has 24 divisors (see below), whose sum is σ = 704575872. Its totient is φ = 215370144.

The previous prime is 405152497. The next prime is 405152557. The reversal of 405152505 is 505251504.

405152505 is a `hidden beast` number, since 4 + 0 + 5 + 152 + 505 = 666.

It is not a de Polignac number, because 405152505 - 2³ = 405152497 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 849 + ... + 28478.

It is an arithmetic number, because the mean of its divisors is an integer number (29357328).

Almost surely, 2^405152505 is an apocalyptic number.

405152505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405152505 is a deficient number, since it is larger than the sum of its proper divisors (299423367).

405152505 is a wasteful number, since it uses less digits than its factorization.

405152505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29645 (or 29642 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 405152505 is about 20128.4004580593. The cubic root of 405152505 is about 739.9564772309.

The spelling of 405152505 in words is "four hundred five million, one hundred fifty-two thousand, five hundred five".