408007680 has 176 divisors, whose sum is σ = 1322918784. Its totient is φ = 107315200.

The previous prime is 408007679. The next prime is 408007681. The reversal of 408007680 is 86700804.

It is an interprime number because it is at equal distance from previous prime (408007679) and next prime (408007681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408007681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551229 + ... + 1551491.

It is an arithmetic number, because the mean of its divisors is an integer number (7516584).

Almost surely, 2^408007680 is an apocalyptic number.

408007680 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 408007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661459392).

408007680 is an abundant number, since it is smaller than the sum of its proper divisors (914911104).

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

408007680 is a wasteful number, since it uses less digits than its factorization.

408007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 408007680 is about 20199.1999841578. The cubic root of 408007680 is about 741.6906075398.

The spelling of 408007680 in words is "four hundred eight million, seven thousand, six hundred eighty".