408775680 has 176 divisors, whose sum is σ = 1453206240. Its totient is φ = 108969984.

The previous prime is 408775669. The next prime is 408775681. The reversal of 408775680 is 86577804.

408775680 is a `hidden beast` number, since 4 + 0 + 87 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (408775681) 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 15 ways as a sum of consecutive naturals, for example, 136762 + ... + 139718.

Almost surely, 2^408775680 is an apocalyptic number.

408775680 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 408775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726603120).

408775680 is an abundant number, since it is smaller than the sum of its proper divisors (1044430560).

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

408775680 is a wasteful number, since it uses less digits than its factorization.

408775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 408775680 is about 20218.2017004480. The cubic root of 408775680 is about 742.1556815951.

The spelling of 408775680 in words is "four hundred eight million, seven hundred seventy-five thousand, six hundred eighty".