405068000 has 48 divisors (see below), whose sum is σ = 995261904. Its totient is φ = 162025600.

The previous prime is 405067991. The next prime is 405068009. The reversal of 405068000 is 860504.

It is an interprime number because it is at equal distance from previous prime (405067991) and next prime (405068009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405068009) 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 7 ways as a sum of consecutive naturals, for example, 46634 + ... + 54633.

It is an arithmetic number, because the mean of its divisors is an integer number (20734623).

Almost surely, 2^405068000 is an apocalyptic number.

405068000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405068000 is an abundant number, since it is smaller than the sum of its proper divisors (590193904).

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

405068000 is a wasteful number, since it uses less digits than its factorization.

405068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101292 (or 101274 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 405068000 is about 20126.3012001709. The cubic root of 405068000 is about 739.9050279871.

The spelling of 405068000 in words is "four hundred five million, sixty-eight thousand".