405742168 has 16 divisors (see below), whose sum is σ = 819287280. Its totient is φ = 187265568.

The previous prime is 405742147. The next prime is 405742199. The reversal of 405742168 is 861247504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950580 + ... + 1950787.

It is an arithmetic number, because the mean of its divisors is an integer number (51205455).

Almost surely, 2^405742168 is an apocalyptic number.

It is an amenable number.

405742168 is an abundant number, since it is smaller than the sum of its proper divisors (413545112).

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

405742168 is a wasteful number, since it uses less digits than its factorization.

405742168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901386 (or 3901382 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 405742168 is about 20143.0426698649. The cubic root of 405742168 is about 740.3152832316.

It can be divided in two parts, 4057 and 42168, that added together give a square (46225 = 215²).

The spelling of 405742168 in words is "four hundred five million, seven hundred forty-two thousand, one hundred sixty-eight".