408645360 has 240 divisors, whose sum is σ = 1429908480. Its totient is φ = 104509440.

The previous prime is 408645359. The next prime is 408645389. The reversal of 408645360 is 63546804.

408645360 is a `hidden beast` number, since 4 + 0 + 8 + 645 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217617 + ... + 3217743.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2^408645360 is an apocalyptic number.

408645360 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 408645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

408645360 is an abundant number, since it is smaller than the sum of its proper divisors (1021263120).

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

408645360 is a wasteful number, since it uses less digits than its factorization.

408645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 408645360 is about 20214.9786049850. The cubic root of 408645360 is about 742.0768054021.

The spelling of 408645360 in words is "four hundred eight million, six hundred forty-five thousand, three hundred sixty".