408023680 has 128 divisors (see below), whose sum is σ = 1039029120. Its totient is φ = 152875008.

The previous prime is 408023669. The next prime is 408023683. The reversal of 408023680 is 86320804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (408023683) 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, 779899 + ... + 780421.

It is an arithmetic number, because the mean of its divisors is an integer number (8117415).

Almost surely, 2^408023680 is an apocalyptic number.

408023680 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 408023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519514560).

408023680 is an abundant number, since it is smaller than the sum of its proper divisors (631005440).

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

408023680 is a wasteful number, since it uses less digits than its factorization.

408023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 408023680 is about 20199.5960355647. The cubic root of 408023680 is about 741.7003025327.

The spelling of 408023680 in words is "four hundred eight million, twenty-three thousand, six hundred eighty".