408340080 has 120 divisors (see below), whose sum is σ = 1388067408. Its totient is φ = 107563008.

The previous prime is 408340073. The next prime is 408340129. The reversal of 408340080 is 80043804.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56344 + ... + 63176.

Almost surely, 2^408340080 is an apocalyptic number.

408340080 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 408340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694033704).

408340080 is an abundant number, since it is smaller than the sum of its proper divisors (979727328).

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

408340080 is a wasteful number, since it uses less digits than its factorization.

408340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6926 counting only the distinct ones).

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

The square root of 408340080 is about 20207.4263576538. The cubic root of 408340080 is about 741.8919689762.

Adding to 408340080 its reverse (80043804), we get a palindrome (488383884).

The spelling of 408340080 in words is "four hundred eight million, three hundred forty thousand, eighty".