405661333 has 24 divisors (see below), whose sum is σ = 511273280. Its totient is φ = 315057600.

The previous prime is 405661297. The next prime is 405661379. The reversal of 405661333 is 333166504.

It is a de Polignac number, because none of the positive numbers 2^k-405661333 is a prime.

It is a super-2 number, since 2×405661333² = 329122234182673778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405661295 and 405661304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405661433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345838 + ... + 347008.

Almost surely, 2^405661333 is an apocalyptic number.

It is an amenable number.

405661333 is a deficient number, since it is larger than the sum of its proper divisors (105611947).

405661333 is a wasteful number, since it uses less digits than its factorization.

405661333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 405661333 is about 20141.0360458443. The cubic root of 405661333 is about 740.2661162439.

The spelling of 405661333 in words is "four hundred five million, six hundred sixty-one thousand, three hundred thirty-three".