408105200 has 60 divisors (see below), whose sum is σ = 985640040. Its totient is φ = 162382080.

The previous prime is 408105193. The next prime is 408105209. The reversal of 408105200 is 2501804.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408105209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76211 + ... + 81389.

It is an arithmetic number, because the mean of its divisors is an integer number (16427334).

Almost surely, 2^408105200 is an apocalyptic number.

408105200 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 408105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492820020).

408105200 is an abundant number, since it is smaller than the sum of its proper divisors (577534840).

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

408105200 is a wasteful number, since it uses less digits than its factorization.

408105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 408105200 is about 20201.6137969223. The cubic root of 408105200 is about 741.7496945862.

The spelling of 408105200 in words is "four hundred eight million, one hundred five thousand, two hundred".