405981414 has 12 divisors (see below), whose sum is σ = 879626436. Its totient is φ = 135327132.

The previous prime is 405981409. The next prime is 405981461. The reversal of 405981414 is 414189504.

405981414 is a `hidden beast` number, since 40 + 598 + 14 + 14 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 11277244 + ... + 11277279.

It is an arithmetic number, because the mean of its divisors is an integer number (73302203).

Almost surely, 2^405981414 is an apocalyptic number.

405981414 is an abundant number, since it is smaller than the sum of its proper divisors (473645022).

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

405981414 is a wasteful number, since it uses less digits than its factorization.

405981414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554531 (or 22554528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 405981414 is about 20148.9804704853. The cubic root of 405981414 is about 740.4607636895.

The spelling of 405981414 in words is "four hundred five million, nine hundred eighty-one thousand, four hundred fourteen".