406868400 has 240 divisors, whose sum is σ = 1466409120. Its totient is φ = 107136000.

The previous prime is 406868393. The next prime is 406868417. The reversal of 406868400 is 4868604.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090614 + ... + 1090986.

It is an arithmetic number, because the mean of its divisors is an integer number (6110038).

Almost surely, 2^406868400 is an apocalyptic number.

406868400 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 406868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733204560).

406868400 is an abundant number, since it is smaller than the sum of its proper divisors (1059540720).

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

406868400 is a wasteful number, since it uses less digits than its factorization.

406868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 406868400 is about 20170.9791532290. The cubic root of 406868400 is about 740.9996230062. Note that the first 3 decimals are identical.

The spelling of 406868400 in words is "four hundred six million, eight hundred sixty-eight thousand, four hundred".