408196656 has 360 divisors, whose sum is σ = 1458750384. Its totient is φ = 105799680.

The previous prime is 408196609. The next prime is 408196667. The reversal of 408196656 is 656691804.

408196656 is a `hidden beast` number, since 408 + 196 + 6 + 56 = 666.

It is a super-3 number, since 3×408196656³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4917991 + ... + 4918073.

Almost surely, 2^408196656 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 408196656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729375192).

408196656 is an abundant number, since it is smaller than the sum of its proper divisors (1050553728).

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

408196656 is a wasteful number, since it uses less digits than its factorization.

408196656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 408196656 is about 20203.8772516564. The cubic root of 408196656 is about 741.8050989226.

The spelling of 408196656 in words is "four hundred eight million, one hundred ninety-six thousand, six hundred fifty-six".