408795828480 has 1728 divisors, whose sum is σ = 1766174941440. Its totient is φ = 89436192768.

The previous prime is 408795828473. The next prime is 408795828503. The reversal of 408795828480 is 84828597804.

408795828480 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 9 + 582 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×408795828480³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306056804 + ... + 1306057116.

It is an arithmetic number, because the mean of its divisors is an integer number (1022091980).

Almost surely, 2^408795828480 is an apocalyptic number.

408795828480 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 408795828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883087470720).

408795828480 is an abundant number, since it is smaller than the sum of its proper divisors (1357379112960).

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

408795828480 is a wasteful number, since it uses less digits than its factorization.

408795828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 408795828480 in words is "four hundred eight billion, seven hundred ninety-five million, eight hundred twenty-eight thousand, four hundred eighty".