406905268 has 48 divisors (see below), whose sum is σ = 940028544. Its totient is φ = 149207040.

The previous prime is 406905263. The next prime is 406905277. The reversal of 406905268 is 862509604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 406905268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406905263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33621 + ... + 44092.

It is an arithmetic number, because the mean of its divisors is an integer number (19583928).

Almost surely, 2^406905268 is an apocalyptic number.

It is an amenable number.

406905268 is an abundant number, since it is smaller than the sum of its proper divisors (533123276).

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

406905268 is a wasteful number, since it uses less digits than its factorization.

406905268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77752 (or 77750 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 406905268 is about 20171.8930197441. The cubic root of 406905268 is about 741.0220039931.

The spelling of 406905268 in words is "four hundred six million, nine hundred five thousand, two hundred sixty-eight".