408285360 has 200 divisors, whose sum is σ = 1620792096. Its totient is φ = 93312000.

The previous prime is 408285349. The next prime is 408285389. The reversal of 408285360 is 63582804.

408285360 is a `hidden beast` number, since 40 + 82 + 8 + 536 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 40860 + ... + 49860.

Almost surely, 2^408285360 is an apocalyptic number.

408285360 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 408285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810396048).

408285360 is an abundant number, since it is smaller than the sum of its proper divisors (1212506736).

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

408285360 is a wasteful number, since it uses less digits than its factorization.

408285360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 408285360 is about 20206.0723546166. The cubic root of 408285360 is about 741.8588281833.

The spelling of 408285360 in words is "four hundred eight million, two hundred eighty-five thousand, three hundred sixty".