408232800 has 324 divisors, whose sum is σ = 1512676620. Its totient is φ = 103564800.

The previous prime is 408232787. The next prime is 408232823. The reversal of 408232800 is 8232804.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 6919171 + ... + 6919229.

It is an arithmetic number, because the mean of its divisors is an integer number (4668755).

Almost surely, 2^408232800 is an apocalyptic number.

408232800 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 408232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756338310).

408232800 is an abundant number, since it is smaller than the sum of its proper divisors (1104443820).

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

408232800 is a wasteful number, since it uses less digits than its factorization.

408232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 408232800 is about 20204.7717136324. The cubic root of 408232800 is about 741.8269927914.

The spelling of 408232800 in words is "four hundred eight million, two hundred thirty-two thousand, eight hundred".