412655616 has 168 divisors, whose sum is σ = 1239537780. Its totient is φ = 132120576.

The previous prime is 412655543. The next prime is 412655647. The reversal of 412655616 is 616556214.

It can be written as a sum of positive squares in 2 ways, for example, as 406425600 + 6230016 = 20160^2 + 2496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138016 + ... + 2138208.

Almost surely, 2^412655616 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 412655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619768890).

412655616 is an abundant number, since it is smaller than the sum of its proper divisors (826882164).

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

412655616 is a wasteful number, since it uses less digits than its factorization.

412655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 412655616 is about 20313.9266514379. The cubic root of 412655616 is about 744.4963735828.

The spelling of 412655616 in words is "four hundred twelve million, six hundred fifty-five thousand, six hundred sixteen".