408479335560 has 384 divisors, whose sum is σ = 1434290457600. Its totient is φ = 104438522880.

The previous prime is 408479335559. The next prime is 408479335603. The reversal of 408479335560 is 65533974804.

408479335560 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 79 + 3 + 3 + 5 + 560 = 666.

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 = 408479335497 and 408479335506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32837662 + ... + 32850098.

It is an arithmetic number, because the mean of its divisors is an integer number (3735131400).

Almost surely, 2^408479335560 is an apocalyptic number.

408479335560 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 408479335560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717145228800).

408479335560 is an abundant number, since it is smaller than the sum of its proper divisors (1025811122040).

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

408479335560 is a wasteful number, since it uses less digits than its factorization.

408479335560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 408479335560 in words is "four hundred eight billion, four hundred seventy-nine million, three hundred thirty-five thousand, five hundred sixty".