412610616 has 96 divisors (see below), whose sum is σ = 1272136320. Its totient is φ = 119592000.

The previous prime is 412610599. The next prime is 412610623. The reversal of 412610616 is 616016214.

412610616 is a `hidden beast` number, since 41 + 2 + 6 + 1 + 0 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412610616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6891 + ... + 29541.

It is an arithmetic number, because the mean of its divisors is an integer number (13251420).

Almost surely, 2^412610616 is an apocalyptic number.

412610616 is a gapful number since it is divisible by the number (46) 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 412610616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636068160).

412610616 is an abundant number, since it is smaller than the sum of its proper divisors (859525704).

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

412610616 is a wasteful number, since it uses less digits than its factorization.

412610616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22697 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 412610616 is about 20312.8190067258. The cubic root of 412610616 is about 744.4693102129.

The spelling of 412610616 in words is "four hundred twelve million, six hundred ten thousand, six hundred sixteen".