405068800 has 66 divisors (see below), whose sum is σ = 1004143568. Its totient is φ = 162017280.

The previous prime is 405068779. The next prime is 405068803. The reversal of 405068800 is 8860504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405068803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17689 + ... + 33511.

Almost surely, 2^405068800 is an apocalyptic number.

405068800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502071784).

405068800 is an abundant number, since it is smaller than the sum of its proper divisors (599074768).

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

405068800 is a wasteful number, since it uses less digits than its factorization.

405068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15853 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 405068800 is about 20126.3210746525. The cubic root of 405068800 is about 739.9055150852.

The spelling of 405068800 in words is "four hundred five million, sixty-eight thousand, eight hundred".