408280320 has 432 divisors, whose sum is σ = 1660643712. Its totient is φ = 90685440.

The previous prime is 408280309. The next prime is 408280321. The reversal of 408280320 is 23082804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408280321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4918999 + ... + 4919081.

Almost surely, 2^408280320 is an apocalyptic number.

408280320 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 408280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830321856).

408280320 is an abundant number, since it is smaller than the sum of its proper divisors (1252363392).

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

408280320 is a wasteful number, since it uses less digits than its factorization.

408280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

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

The square root of 408280320 is about 20205.9476392472. The cubic root of 408280320 is about 741.8557755930.

The spelling of 408280320 in words is "four hundred eight million, two hundred eighty thousand, three hundred twenty".