408830400 has 504 divisors, whose sum is σ = 1658264400. Its totient is φ = 94617600.

The previous prime is 408830377. The next prime is 408830407. The reversal of 408830400 is 4038804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408830407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4593556 + ... + 4593644.

Almost surely, 2^408830400 is an apocalyptic number.

408830400 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 408830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829132200).

408830400 is an abundant number, since it is smaller than the sum of its proper divisors (1249434000).

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

408830400 is a wasteful number, since it uses less digits than its factorization.

408830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

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

The square root of 408830400 is about 20219.5548912433. The cubic root of 408830400 is about 742.1887958832.

The spelling of 408830400 in words is "four hundred eight million, eight hundred thirty thousand, four hundred".