408275478590616 has 576 divisors, whose sum is σ = 1376013241437120. Its totient is φ = 107078189137920.

The previous prime is 408275478590563. The next prime is 408275478590671. The reversal of 408275478590616 is 616095874572804.

408275478590616 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 7 + 5 + 478 + 5 + 90 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44180871756 + ... + 44180880996.

It is an arithmetic number, because the mean of its divisors is an integer number (2388911877495).

Almost surely, 2^{408275478590616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408275478590616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688006620718560).

408275478590616 is an abundant number, since it is smaller than the sum of its proper divisors (967737762846504).

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

408275478590616 is a wasteful number, since it uses less digits than its factorization.

408275478590616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12116 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 408275478590616 in words is "four hundred eight trillion, two hundred seventy-five billion, four hundred seventy-eight million, five hundred ninety thousand, six hundred sixteen".