408193896960 has 320 divisors, whose sum is σ = 1451535845760. Its totient is φ = 108731842560.

The previous prime is 408193896937. The next prime is 408193896961. The reversal of 408193896960 is 69698391804.

It is a happy number.

408193896960 is a `hidden beast` number, since 408 + 1 + 93 + 89 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (408193896961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75407214 + ... + 75412626.

It is an arithmetic number, because the mean of its divisors is an integer number (4536049518).

Almost surely, 2^408193896960 is an apocalyptic number.

408193896960 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 408193896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725767922880).

408193896960 is an abundant number, since it is smaller than the sum of its proper divisors (1043341948800).

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

408193896960 is a wasteful number, since it uses less digits than its factorization.

408193896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 408193896960 in words is "four hundred eight billion, one hundred ninety-three million, eight hundred ninety-six thousand, nine hundred sixty".