414410616 has 96 divisors (see below), whose sum is σ = 1164945600. Its totient is φ = 132986880.

The previous prime is 414410603. The next prime is 414410621. The reversal of 414410616 is 616014414.

414410616 is a `hidden beast` number, since 4 + 1 + 4 + 41 + 0 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414410616.

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, 232320 + ... + 234096.

It is an arithmetic number, because the mean of its divisors is an integer number (12134850).

Almost surely, 2^414410616 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 414410616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582472800).

414410616 is an abundant number, since it is smaller than the sum of its proper divisors (750534984).

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

414410616 is a wasteful number, since it uses less digits than its factorization.

414410616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 414410616 is about 20357.0777863622. The cubic root of 414410616 is about 745.5503139341.

The spelling of 414410616 in words is "four hundred fourteen million, four hundred ten thousand, six hundred sixteen".