408283680 has 144 divisors (see below), whose sum is σ = 1496154240. Its totient is φ = 93316608.

The previous prime is 408283669. The next prime is 408283697. The reversal of 408283680 is 86382804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14841 + ... + 32199.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^408283680 is an apocalyptic number.

408283680 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 408283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

408283680 is an abundant number, since it is smaller than the sum of its proper divisors (1087870560).

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

408283680 is a wasteful number, since it uses less digits than its factorization.

408283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17391 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 408283680 is about 20206.0307829123. The cubic root of 408283680 is about 741.8578106560.

The spelling of 408283680 in words is "four hundred eight million, two hundred eighty-three thousand, six hundred eighty".