406868000 has 192 divisors, whose sum is σ = 1247291136. Its totient is φ = 126720000.

The previous prime is 406867991. The next prime is 406868003. The reversal of 406868000 is 868604.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (406868003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307340 + ... + 308660.

It is an arithmetic number, because the mean of its divisors is an integer number (6496308).

Almost surely, 2^406868000 is an apocalyptic number.

406868000 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 406868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623645568).

406868000 is an abundant number, since it is smaller than the sum of its proper divisors (840423136).

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

406868000 is a wasteful number, since it uses less digits than its factorization.

406868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 406868000 is about 20170.9692379915. The cubic root of 406868000 is about 740.9993801759. Note that the first 3 decimals are identical.

The spelling of 406868000 in words is "four hundred six million, eight hundred sixty-eight thousand".