408708840960 has 1200 divisors, whose sum is σ = 1734597916128. Its totient is φ = 90097090560.

The previous prime is 408708840931. The next prime is 408708840973. The reversal of 408708840960 is 69048807804.

408708840960 is a `hidden beast` number, since 408 + 70 + 8 + 84 + 0 + 96 + 0 = 666.

408708840960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 408708840897 and 408708840906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1394910574 + ... + 1394910866.

Almost surely, 2^408708840960 is an apocalyptic number.

408708840960 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 408708840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867298958064).

408708840960 is an abundant number, since it is smaller than the sum of its proper divisors (1325889075168).

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

408708840960 is an equidigital number, since it uses as much as digits as its factorization.

408708840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 408708840960 in words is "four hundred eight billion, seven hundred eight million, eight hundred forty thousand, nine hundred sixty".