408418560 has 324 divisors, whose sum is σ = 1558527516. Its totient is φ = 98672640.

The previous prime is 408418559. The next prime is 408418631. The reversal of 408418560 is 65814804.

408418560 is a `hidden beast` number, since 4 + 0 + 84 + 18 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 122943744 = 16896^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1393774 + ... + 1394066.

Almost surely, 2^408418560 is an apocalyptic number.

408418560 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 408418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779263758).

408418560 is an abundant number, since it is smaller than the sum of its proper divisors (1150108956).

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

408418560 is a wasteful number, since it uses less digits than its factorization.

408418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 408418560 is about 20209.3681247089. The cubic root of 408418560 is about 741.9394946825.

The spelling of 408418560 in words is "four hundred eight million, four hundred eighteen thousand, five hundred sixty".