405661353 has 16 divisors (see below), whose sum is σ = 546604800. Its totient is φ = 267593040.

The previous prime is 405661297. The next prime is 405661379. The reversal of 405661353 is 353166504.

It is not a de Polignac number, because 405661353 - 2¹⁰ = 405660329 is a prime.

It is a super-2 number, since 2×405661353² = 329122266635581218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405661253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136558 + ... + 139496.

It is an arithmetic number, because the mean of its divisors is an integer number (34162800).

Almost surely, 2^405661353 is an apocalyptic number.

It is an amenable number.

405661353 is a deficient number, since it is larger than the sum of its proper divisors (140943447).

405661353 is a wasteful number, since it uses less digits than its factorization.

405661353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 405661353 is about 20141.0365423431. The cubic root of 405661353 is about 740.2661284095.

The spelling of 405661353 in words is "four hundred five million, six hundred sixty-one thousand, three hundred fifty-three".